EDF 7405 Advanced Quantitative Methods in Educational Research. Data are available on IQ of the child and seven potential predictors.
|
|
- Winfred Curtis
- 6 years ago
- Views:
Transcription
1 EDF 7405 Advanced Quantitative Methods in Educational Research Data are available on IQ of the child and seven potential predictors. Four are medical variables available at the birth of the child: Birthweight (BW) the weight of the new born in grams; very large or very small weights may indicate health problems ( X ). APGAR a quick assessment of overall newborn well being. Low numbers may indicate problems ( X ). Intrapartum factors (IF) a measure of the quality of the delivery. Low numbers indicate problems occurred in the delivery ( X 3 ). Neonatal factors (NF) a measure of the health of the newborn. Low numbers may indicate health problems ( X 4 ). Three are sociological variables measured at the time of the baby s birth. Socioeconomic status a measure of the material resources available to the mother. Higher scores indicate more resources ( X 5 ). Social support a measure of the social resources available to the mother. Higher scores indicate more resources ( X 6 ). Stressful life events (SLE) a measure of the extent of stressors in the mother s life in the prior year. Higher scores indicate more stressors ( X 7 ) We want to consider the medical variables as control variables and test whether or not the sociological variables are related to IQ when the medical variables are controlled. To do this we need results for two models:
2 The full model: Y X X X X X X X The reduced model: Y X X X X In terms of the abbreviations for the variables these models are The full model: Y BW APGAR IF NF SES SS SLE The reduced model: Y BW APGAR IF NF 3 4 I present the regression results only. The residual plots for the full model should be examined before using the results for the models. Full Results See pages 8-9 of the first section for directions to conduct a regression analysis. Regression Variables Entered/Removed b Variables Entered SLE, IF, Variables Removed Method BW, SES,. Enter APGAR, SS, NF a a. All requested variables entered. b. Dependent Variable: IQ
3 3 Summary Std. Error Adjusted of the R R Square R Square Estimate.60 a a. Predictors: (Constant), SLE, IF, BW, SES, APGAR, SS, NF ANOVA b Sum of Squares df Mean Square F Sig. Regression a Residual Total a. Predictors: (Constant), SLE, IF, BW, SES, APGAR, SS, NF b. Dependent Variable: IQ Unstandardized Coefficients Coefficients a Standardi zed Coefficien ts B Std. Error Beta t Sig. (Constant) BW 5.950E APGAR IF NF 8.393E SES SS SLE a. Dependent Variable: IQ Reduced Results
4 4 See pages 8-9 of the first section for directions to conduct a regression analysis. Regression Variables Entered/Removed b Variables Entered NF, IF, Variables Removed Method APGAR, BW a. Enter a. All requested variables entered. b. Dependent Variable: IQ Summary Std. Error R R Square Adjusted R Square of the Estimate.380 a a. Predictors: (Constant), NF, IF, APGAR, BW ANOVA b Sum of Squares df Mean Square F Sig. Regression a Residual Total a. Predictors: (Constant), NF, IF, APGAR, BW b. Dependent Variable: IQ Unstandardized Coefficients Coefficients a Standardi zed Coefficien ts B Std. Error Beta t Sig. (Constant) BW 5.979E APGAR IF NF a. Dependent Variable: IQ
5 5 EDF 7405 Advanced Quantitative Methods in Educational Research SEQUENT.SAS In this handout a procedure for obtaining control-preceding variables tests is presented. Here is the SPSS Windows editor with part of the data displayed. To conduct the analysis press analyze, regression and linear
6 You get the following screen: 6
7 7 Move iq into the Dependent slot by highlighting iq and pressing the arrow to the left of the Dependent slot and bw into the Independent(s) slot by highlighting bw and pressing the arrow to the left of the independents slot. You get Now press next. You get
8 8 Notice that Block of has changed to Block of and the Independent(s) slot is empty. Move SES into the Independent(s) slot. You get Press next. You get
9 9 Notice that Block of has changed to Block 3 of 3 and the Independent(s) slot is empty. Move MAGE in the Independent(s) slot. Continue in this fashion until you have moved all independent variables into the Independent(s) and in the appropriate order. The final screen looks like this
10 0 Block 8 of 8 indicates that eight independent variables have been moved to the Independent(s) slot. Now click Statistics. The screen looks like this Unclick estimates and click R squared change. Then click continue and when the new screen opens, click OK. These results follow over several pages. Regression [DataSet] C:\7405\Spss.Programs\Third\sequent.sav Variables Entered/Removed b Variables Entered Variables Removed Method bw a. Enter ses a. Enter 3 mage a. Enter 4 apgar a. Enter 5 nf a. Enter 6 if a. Enter 7 ss a. Enter 8 sle a. Enter a. All requested variables entered. b. Dependent Variable: iq
11 In the following you will find the up to j R X in the R square column, the Type I squared semi partial correlation coefficients in the R square change column, the control-preceding-variables F statistic in the F change column and the control-precedingvariables p value in the Sig F change column. Summary Change Statistics Adjusted Std. Error of R Square R R Square R Square the Estimate Change F Change df df Sig. F Change.30 a b c d e f g h a. Predictors: (Constant), bw b. Predictors: (Constant), bw, ses c. Predictors: (Constant), bw, ses, mage d. Predictors: (Constant), bw, ses, mage, apgar e. Predictors: (Constant), bw, ses, mage, apgar, nf f. Predictors: (Constant), bw, ses, mage, apgar, nf, if g. Predictors: (Constant), bw, ses, mage, apgar, nf, if, ss h. Predictors: (Constant), bw, ses, mage, apgar, nf, if, ss, sle
12 The following results contain the F statistics for testing the omnibus multivariable hypothesis for each successive model. We do not use these results Regression Residual Total Regression Residual Total Regression Residual Total Regression Residual Total Regression Residual Total Regression Residual Total Regression Residual Total Regression Residual Total a. Predictors: (Constant), bw ANOVA i Sum of Squares df Mean Square F Sig a b c d e f g h b. Predictors: (Constant), bw, ses c. Predictors: (Constant), bw, ses, mage d. Predictors: (Constant), bw, ses, mage, apgar e. Predictors: (Constant), bw, ses, mage, apgar, nf f. Predictors: (Constant), bw, ses, mage, apgar, nf, if g. Predictors: (Constant), bw, ses, mage, apgar, nf, if, ss h. Predictors: (Constant), bw, ses, mage, apgar, nf, if, ss, sle i. Dependent Variable: iq
13 3 EDF 7405 Advanced Quantitative Methods in Educational Research Fathers are randomly assigned to either an experimental or a control group. The experimental treatment is designed to increase fathers' authoritative towards child rearing. The fathers were post tested with the Eversoll Father Role Questionnaire. In the data the control group is coded Z for the experimental group Z 0 for the control group This kind of coding is called dummy coding. The variable is denoted by a Z to emphasize that it is a categorical variable rather than a quantitative variable.
14 4 The Data Group EFRQ The model is Y Z or in terms of the abbreviations for the variables EFRQ Group The symbol is used in place of to emphasize that it is a regression coefficient for a categorical variable rather than for a quantitative variable.
15 5 The same steps that were used in simple regression analyses in the first section of the course are used again (see pages 8-9 of the first section to conduct a regression analysis). However before doing the regression analysis we must compute descriptive statistics for each group. Descriptive Statistics by Treatment Group
16 See pages 0- of the first section for directions to obtain descriptive statistics. 6
17 7 Descriptives GROUP = 0 Descriptive Statistics a EFRQ Valid N (listwise) a. GROUP = 0 Std. N Minimum Maximum Mean Deviation GROUP = Descriptive Statistics a EFRQ Valid N (listwise) a. GROUP = Std. N Minimum Maximum Mean Deviation Before conducting the regression analysis we must turn off the split-file option. To do this follow the steps used to turn it on until you get to the screen Select Analyze all cases, do not create groups and then click OK.
18 8 Regression Analysis Regression Variables Entered/Removed b Variables Entered Variables Removed Method GROUP a. Enter a. All requested variables entered. b. Dependent Variable: EFRQ Summary Std. Error R R Square Adjusted R Square of the Estimate.437 a a. Predictors: (Constant), GROUP ANOVA b Sum of Squares df Mean Square F Sig. Regression a Residual Total a. Predictors: (Constant), GROUP b. Dependent Variable: EFRQ Unstandardized Coefficients Coefficients a Standardi zed Coefficien ts B Std. Error Beta t Sig. (Constant) GROUP a. Dependent Variable: EFRQ
19 9 EDF 7405 Advanced Quantitative Methods in Educational Research QUAL.SAS Data are available on 5 teenage mothers and their children. The data consist of dummy variables indicating the prenatal care program in which the mother took part and mental development index (MDI) scores derived from the Bayley scales of infant development. The prenatal care was delivered by the teenage pregnancy team, private physicians, or the Shands high risk clinic. The coding of the groups is presented in the following table Prenatal Care Z Z Teenage Pregnancy Team 0 Private Physician 0 Shands High Risk Clinic 0 0 The MDI scores were obtained at age six months. The data are used to illustrate the use of regression to conduct a one-way between-subjects ANOVA. Descriptive Statistics for Each Group To get descriptive statistics on the groups, before using the Descriptive Statistics option within the Analyze option it is necessary to split the file. To review, splitting the file is done by using the Split File option within the Data option in the SPSS for Windows Data Editor.
20 0
21 Descriptives Z = 0, Z = 0 Descriptive Statistics a MDI Valid N (listwise) a. Z = 0, Z = 0 Std. N Minimum Maximum Mean Deviation Z = 0, Z = Descriptive Statistics a MDI Valid N (listwise) a. Z = 0, Z = Std. N Minimum Maximum Mean Deviation Z =, Z = 0
22 Descriptive Statistics a MDI Valid N (listwise) a. Z =, Z = 0 Std. N Minimum Maximum Mean Deviation Before running the regression analysis the file must be unsplit. Just select Analyze all cases, do not select groups in the following screen: Regression Analysis The following is the result of running the SPSS regression analysis (see pages 8-9 of the first section to conduct a regression analysis). It provided the test of the omnibus hypothesis and of the comparison of Teenage Pregnancy Team to Shands High Risk Clinic and of Private Physicians to Shands High Risk Clinic. A method for obtaining the comparison of Teenage Pregnancy Team and Private Physicians is presented after the initial regression results.
23 3 Regression Variables Entered/Removed b Variables Variables Entered Removed Method Z, Z a. Enter a. All requested variables entered. b. Dependent Variable: MDI Summary Std. Error Adjusted of the R R Square R Square Estimate.39 a a. Predictors: (Constant), Z, Z Regression Residual Total a. Predictors: (Constant), Z, Z b. Dependent Variable: MDI ANOVA b Sum of Mean Squares df Square F Sig a (Constant) Z Z a. Dependent Variable: MDI Unstandardized Coefficients Coefficients a Standardi zed Coefficien ts B Std. Error Beta t Sig
24 4 Unfortunately the SPSS regression program does not automatically produce a t statistic for comparing Teenage Pregnancy Team and Private Physicians. The t statistic can be computed by using the SPSS line code. In the following screen for the regression program press Paste: The SPSS syntax editor displays the following code: REGRESSION /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA /CRITERIA=PIN(.05) POUT(.0) /NOORIGIN /DEPENDENT mdi /METHOD=ENTER z z Add BCOV to the statistics line: REGRESSION /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA BCOV /CRITERIA=PIN(.05) POUT(.0) /NOORIGIN
25 5 /DEPENDENT mdi /METHOD=ENTER z z Press Run and then press All. The results will be the same as for the new full model with the exception that the following results will be added at the end. Coefficient Correlations(a) z z Correlations z z Covariances z z a Dependent Variable: mdi These results are confusingly labeled because they are not correlation coefficients and covariances for the variables. Rather they are sampling correlations and covariances. The t statistic for H0 : 0 is t S S C The results required for the denominator are Name of Statistic Sampling variance for Sampling variance for Sampling covariance for and Symbol S S C.760 Numeric value Each sampling variance is the square of a standard error, a term with which you are more familiar. The coefficients and can be found in the results labeled coefficients. These results are on page 3. Substituting in the t statistic for testing H 0 : 0
26 6 t S S C yields
27 7 EDF 7405 Advanced Quantitative Methods in Educational Research ANCORAN.SAS In the investigation of the treatment designed to increase fathers' authoritative towards child rearing, fathers were pre and post tested with the Eversoll Father Role Questionnaire. This handout illustrates how to incorporate the pretest and test for the covariate x treatment interaction. The groups are again coded The data Z for the experimental group Z 0 for the control group Group EFPOST EFPRE
28 8 for testing the interaction: The model is Y X XZ or in terms of the abbreviations of the variables EFPOST ( EFPRE) Group ( Group EFPRE). The symbol emphasizes it is a regression coefficient for the product term. We must use the TRANSFORM and COMPUTE option to add the product (GROUP EFPRE) to the data set (see pages of the first section to use the compute feature). The product is denoted by PR is the SPSS results. The following shows the resulting data See pages 6-9 of the first section for directions to produce case summaries. Summarize Case Processing Summary a Cases Included Excluded Total N Percent N Percent N Percent EFPOST % 0.0% % EFPRE % 0.0% % PR % 0.0% % a. Limited to first 00 cases.
29 9 Case Summaries a EFPOST EFPRE PR Total N a. Limited to first 00 cases.
30 30 See pages 8-9 of the first section for directions to conduct a regression analysis. Regression Variables Entered/Removed b Variables Entered PR, Variables Removed Method EFPRE, GROUP a. Enter a. All requested variables entered. b. Dependent Variable: EFPOST Summary Std. Error R R Square Adjusted R Square of the Estimate.70 a a. Predictors: (Constant), PR, EFPRE, GROUP ANOVA b Sum of Squares df Mean Square F Sig. Regression a Residual Total a. Predictors: (Constant), PR, EFPRE, GROUP b. Dependent Variable: EFPOST Unstandardized Coefficients Coefficients a Standardi zed Coefficien ts B Std. Error Beta t Sig. (Constant) GROUP EFPRE PR a. Dependent Variable: EFPOST
31 3 The evidence to this point indicates lack of support for a covariate x treatment interaction. I next show how to test the treatment effect, under the assumption that there is no covariate x treatment interaction. The groups are again coded for testing the treatment effect The model is Z for the experimental group Z 0 for the control group Y X or in terms of the abbreviations of the variables EFRQ _ POST ( EFRQ _ PRE) Group. Note that the product term has been removed. See pages 8-9 of the first section for directions to conduct a regression analysis. Regression Variables Entered/Removed b Variables Entered Variables Removed Method EFPRE, GROUP a. Enter a. All requested variables entered. b. Dependent Variable: EFPOST Summary Std. Error R R Square Adjusted R Square of the Estimate.677 a a. Predictors: (Constant), EFPRE, GROUP
32 3 Regression Residual Total ANOVA b Sum of Mean Squares df Square F Sig a a. Predictors: (Constant), EFPRE, GROUP b. Dependent Variable: EFPOST (Constant) GROUP EFPRE Unstandardized Coefficients a. Dependent Variable: EFPOST Coefficients a Standardi zed Coefficien ts B Std. Error Beta t Sig
33 33 EDF 7405 Advanced Quantitative Methods in Educational Research ANCORAN.SAS Adult children of alcoholic parents were tested using a healthy coping behaviors scale, randomly assigned to one of three treatments:. Cognitive treatment. Experiential treatment 3. Control treatment and then tested again using the healthy coping behaviors scale. Our first purpose is to test for a covariate x treatment interaction. That is, we want to determine if there is evidence for the claim that the direction and/or size of the treatment effects depends on degree of healthy coping behavior as measured by the pretest. The following are the data Treatment GROUP PRETEST POSTTEST `
34 34 for testing the interaction: The model that includes the interaction (product) terms is Y X Z Z XZ XZ or in terms of the abbreviations of the variables Post Pre Z Z Pre Z Pre Z () We must use the TRANSFORM and COMPUTE option to add the product terms to the data set (see pages of the first section to use the compute feature). These products are denoted by PR and PR in the SPSS results. The hypothesis we want to test is H : 0. 0 This is a hypothesis on a subset of the coefficients and requires us to use a full model and a reduced model. The full model is equation (). The reduced model is obtained by eliminating the coefficients in the hypothesis Post Pre Z Z. () The following are the results for the full model. See pages 8-9 of the first section for directions to conduct a regression analysis.from the model summary section we find R FM.546.
35 35 Regression Variables Entered/Removed b Variables Entered PR, PRE, Variables Removed Method Z, PR, Z a. Enter a. All requested variables entered. b. Dependent Variable: POST Summary b R R Square Adjusted R Square Std. Error of the Estimate.739 a a. Predictors: (Constant), PR, PRE, Z, PR, Z b. Dependent Variable: POST ANOVA b Sum of Squares df Mean Square F Sig. Regression a Residual Total a. Predictors: (Constant), PR, PRE, Z, PR, Z b. Dependent Variable: POST Unstandardized Coefficients Coefficients a Standardized Coefficients B Std. Error Beta t Sig. (Constant) Z Z PRE PR PR a. Dependent Variable: POST
36 36 Residuals Statistics a Minimum Maximum Mean Std. Deviation N Predicted Value Residual Std. Predicted Value Std. Residual a. Dependent Variable: POST The following are the results for the reduced model. See pages 8-9 of the first section for directions to conduct a regression analysis. From the model summary section we find R RM.504. Regression Variables Entered/Removed b Variables Entered Variables Removed Method PRE, Z, Z a. Enter a. All requested variables entered. b. Dependent Variable: POST Summary b R R Square Adjusted R Square Std. Error of the Estimate.70 a a. Predictors: (Constant), PRE, Z, Z b. Dependent Variable: POST ANOVA b Sum of Squares df Mean Square F Sig. Regression a Residual Total a. Predictors: (Constant), PRE, Z, Z b. Dependent Variable: POST
37 37 (Constant) Z Z PRE a. Dependent Variable: POST Unstandardized Coefficients Coefficients a Standardized Coefficients B Std. Error Beta t Sig Residuals Statistics a Minimum Maximum Mean Std. Deviation N Predicted Value Residual Std. Predicted Value Std. Residual a. Dependent Variable: POST To test a subset hypothesis H : 0. 0 we use the test statistic F R FM R RM nk k g R FM. In the current example we get F The critical value is F,, F.,,, and we fail to reject the null kg nk or hypothesis. Had we rejected the null hypothesis, we would have been interested in plotting the regression lines for the three groups. To do so, on the following screen
38 press Save to obtain 38
39 39 and select the unstandardized predicted values and then plot these against the pretest. See pages -3 of the first section for directions to construct a scatter plot. The following is the plot with annotations added:
40 40 Plot of Predicted Postest Score vs. Pretest 50 Score for with Product Terms Cognitive Predicted Posttest Experiential Control Pretest Since the null hypothesis was not rejected, we conclude that the following model is adequate for the data Post Pre Z Z. (3) This becomes our new full model. The hypothesis of interest is H : 0 0 Since this a hypothesis on a subset of the parameters we need a new reduced mode: Post Pre (4) We already have results for the new full model since it was out old reduced model. For this model, R FM.504. The following are the results for the new reduced model. From the model summary section we find R RM.85.
41 4 Regression Variables Entered/Removed b Variables Entered Variables Removed Method PRE a. Enter a. All requested variables entered. b. Dependent Variable: POST Summary b R R Square Adjusted R Square Std. Error of the Estimate.533 a a. Predictors: (Constant), PRE b. Dependent Variable: POST ANOVA b Sum of Squares df Mean Square F Sig. Regression a Residual Total a. Predictors: (Constant), PRE b. Dependent Variable: POST Unstandardized Coefficients Coefficients a Standardized Coefficients B Std. Error Beta t Sig. (Constant) PRE a. Dependent Variable: POST Residuals Statistics a Minimum Maximum Mean Std. Deviation N Predicted Value Residual Std. Predicted Value Std. Residual a. Dependent Variable: POST
42 4 To test the subset hypothesis H : 0 0 we use the test statistic F R FM R RM nk k g R FM. In the current example we get F The critical value is F,, F.,,, and we reject the null hypothesis. kg nk or Since we have rejected the null hypothesis H : 0 0 we want to test specific hypotheses to determine which pairs of treatments had different vertical separation between the regression lines. That is we want to test Groups Compared Cognitive vs. Control Experiential vs. Control Cognitive vs. Experiential Hypothesis H0 : 0 H0 : 0 H : 0 0 The t statistics for the first two hypotheses can be found in the coefficients section of the printout for the new full model (which was the original reduced model). These are shown in the following table:
43 43 Groups Compared Cognitive vs. Control Experiential vs. Control Cognitive vs. Experiential Hypothesis H0 : H0 : H : 0 0 t Unfortunately the SPSS regression program does not automatically produce a t statistic for a third hypothesis. The t statistic can be computed by using the SPSS line code. In the following screen for the regression program press Paste:
44 44 The SPSS syntax editor displays the following code REGRESSION /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA /CRITERIA=PIN(.05) POUT(.0) /NOORIGIN /DEPENDENT post /METHOD=ENTER pre z z /SAVE PRED. Add BCOV to the statistics line: REGRESSION /MISSING LISTWISE /STATISTICS COEFF OUTS R ANOVA BCOV /CRITERIA=PIN(.05) POUT(.0) /NOORIGIN /DEPENDENT post /METHOD=ENTER pre z z Press Run and then press All. The results will be the same as for the new full model with the exception that the following results will be added at the end. Correlations Covariances Coefficient Correlations a Z PRE Z Z PRE Z a. Dependent Variable: POST Z PRE Z E E-0.578E E E-0. These results are confusingly labeled because they are not correlation coefficients and covariances for the variables. Rather they are sampling correlations and covariances. The t statistic for H0 : 0 is t S S C
45 45 The results required for the denominator are Name of Statistic Sampling variance for Sampling variance for Sampling covariance for and Symbol S S. C 5.49 Numeric value Each sampling variance is the square of a standard error, a term with which you are more familiar. The coefficients and can be found in the results labeled coefficients. These results are on page 4. Substituting in the t statistic for testing H 0 : 0 t S S C yields We will use the Bonferroni critical value in order to control the family wise error rate: t /,, C, nk t.05/,3,33.4
46 46 Collecting all of the results we have Groups Compared Cognitive vs. Control Experiential vs. Control Cognitive vs. Experiential Hypothesis t t /,, C, n k Decison H0 : Reject H0 : Fail to reject H : Fail to reject 0 and we conclude that there is a treatment difference between Cognitive and Control, but we do not have sufficient evidence to conclude that there is a treatment difference between Experiential and Control or between Cognitive and Experiential. The regression lines in the following plot are consistent with these results. Plot of Predicted Postest Score vs. Pretest 60 Score for without Product Terms Predicted Posttest Experiential Cognitive Control Pretest
47 47 EDF 7405 Advanced Quantitative Methods in Educational Research STEPWISE.SAS In this handout I show how to use SPSS to do stepwise regression. The data are from a textbook example. The textbook did not include a context. The data Y X X X To do stepwise regression, follow the steps to conduct a regression analysis (see pages 8-9 of the first section) until you get to the following screen.
48 48 In addition to declaring the independent and dependent variables, you must change the method to stepwise by selecting it in the drop-down menu
49 49 To make the results agree with the results in SAS I have changed some of the options. It is not necessary to change the options in order to run a stepwise regression, but SAS and SPSS will give different results if you do not. I changed the entry probability to.5 and the removal probability to.5.
50 50 Thus a coefficient that is significant at the.5 alpha level will enter the model and a coefficient that is not significant at the.5 alpha level will be removed from the model. Regression
51 5 Variables Entered/Removed a 3 4 Variables Entered X. X. X3.. X a. Dependent Variable: Y Variables Removed Method Stepwise (Criteria: Probabilit y-of-f-to-e nter <=.50, Probabilit y-of-f-to-r emove >=.5). Stepwise (Criteria: Probabilit y-of-f-to-e nter <=.50, Probabilit y-of-f-to-r emove >=.5). Stepwise (Criteria: Probabilit y-of-f-to-e nter <=.50, Probabilit y-of-f-to-r emove >=.5). Stepwise (Criteria: Probabilit y-of-f-to-e nter <=.50, Probabilit y-of-f-to-r emove >=.5).
52 5 3 4 Summary Std. Error Adjusted of the R R Square R Square Estimate.607 a b c d a. Predictors: (Constant), X b. Predictors: (Constant), X, X c. Predictors: (Constant), X, X, X3 d. Predictors: (Constant), X, X3 3 4 Regression Residual Total Regression Residual Total Regression Residual Total Regression Residual Total a. Predictors: (Constant), X b. Predictors: (Constant), X, X ANOVA e Sum of Mean Squares df Square F Sig a b c d c. Predictors: (Constant), X, X, X3 d. Predictors: (Constant), X, X3 e. Dependent Variable: Y
53 (Constant) X (Constant) X X (Constant) X X X3 (Constant) X X3 a. Dependent Variable: Y Unstandardized Coefficients Coefficients a Standardi zed Coefficien ts B Std. Error Beta t Sig X X3 X3 X Excluded Variables d Collinearit y Partial Statistics Beta In t Sig. Correlation Tolerance.56 a a b c a. Predictors in the : (Constant), X b. Predictors in the : (Constant), X, X c. Predictors in the : (Constant), X, X3 d. Dependent Variable: Y
54 54
55 55 EDF 7405 Advanced Quantitative Methods in Educational Research SUBSET.SAS SPSS does not have an all possible subsets program.
56 56 EDF 7405 Advanced Quantitative Methods in Educational Research SUBCOMP.SAS SPSS does not have an all possible subsets program.
57 57 EDF 7405 Advanced Quantitative Methods in Educational Research This shows how to use SPSS to do a multicategory logistic regression. After importing the data into the SRSS Data Editor, click Analyze, Regression, Multinomial Logistic. For my data the result is: Move MATHGRP into the dependent slot because it is the variable indicating math group membership: = Advanced; = Regular; 3 = Remedial. Move SAS into the Covariates slot. Here covariate is being used as a synonym for quantitative independent variable. The results are
58 58 Nominal Regression MATHGRP Valid Missing Total Subpopulation Case Processing Summary 3 Marginal N Percentage % % % % a a. The dependent variable has only one value observed in 5 (0.0%) subpopulations. Fitting Information Intercept Only Final Fitting Criteria Likelihood Ratio Tests - Log Likelihood Chi-Square df Sig Pseudo R-Square Cox and Snell Nagelkerke McFadden Effect Intercept SES Likelihood Ratio Tests Fitting Criteria Likelihood Ratio Tests - Log Likelihood of Reduced Chi-Square df Sig The chi-square statistic is the difference in - log-likelihoods between the final model and a reduced model. The reduced model is formed by omitting an effect from the final model. The null hypothesis is that all parameters of that effect are 0.
59 59 MATHGR a Intercep SES Intercep SES a. The reference category is: 3. Parameter Estimates B Std. Error Wald df Sig. Exp(B) Lower BoundUpper Bound % Confidence Interval fo Exp(B)
60 60
61 6 EDF 7405 Advanced Quantitative Methods in Educational Research This shows how to use SPSS to do a proportional odds logistic regression. After importing the data into the SRSS Data Editor, click Analyze, Regression, Ordinal. For my data the result is: Move MATHGRP into the dependent slot because it is the variable indicating math group membership: = Advanced; = Regular; 3 = Remedial. Move SAS into the Covariates slot. Here covariate is being used as a synonym for quantitative independent variable. The results are:
62 6 PLUM - Ordinal Regression Warnings There are 6 (0.7%) cells (i.e., dependent variable levels by combinations of predictor variable values) with zero frequencies. Case Processing Summary MATHGRP Valid Missing Total 3 Marginal N Percentage % % % % Fitting Information - Log Likelihood Chi-Square df Sig. Intercept Only Final Link function: Logit. Goodness-of-Fit Chi-Square df Sig. Pearson Deviance Link function: Logit. Pseudo R-Square Cox and Snell Nagelkerke McFadden Link function: Logit Parameter Estimates 95% Confidence Interval Estimate Std. Error Wald df Sig. Lower BoundUpper Bound Threshold [MATHGRP = [MATHGRP = Location SES Link function: Logit.
EDF 7405 Advanced Quantitative Methods in Educational Research MULTR.SAS
EDF 7405 Advanced Quantitative Methods in Educational Research MULTR.SAS The data used in this example describe teacher and student behavior in 8 classrooms. The variables are: Y percentage of interventions
More informationAdvanced Quantitative Data Analysis
Chapter 24 Advanced Quantitative Data Analysis Daniel Muijs Doing Regression Analysis in SPSS When we want to do regression analysis in SPSS, we have to go through the following steps: 1 As usual, we choose
More informationRegression. Notes. Page 1. Output Created Comments 25-JAN :29:55
REGRESSION /MISSING LISTWISE /STATISTICS COEFF OUTS CI(95) BCOV R ANOVA /CRITERIA=PIN(.05) POUT(.10) /NOORIGIN /DEPENDENT favorability /METHOD=ENTER Zcontemp ZAnxious6 zallcontact. Regression Notes Output
More informationInvestigating Models with Two or Three Categories
Ronald H. Heck and Lynn N. Tabata 1 Investigating Models with Two or Three Categories For the past few weeks we have been working with discriminant analysis. Let s now see what the same sort of model might
More informationCorrelations. Notes. Output Created Comments 04-OCT :34:52
Correlations Output Created Comments Input Missing Value Handling Syntax Resources Notes Data Active Dataset Filter Weight Split File N of Rows in Working Data File Definition of Missing Cases Used Processor
More information*************NO YOGA!!!!!!!************************************.
*************NO YOGA!!!!!!!************************************. temporary. select if human gt 1 and Q_TotalDuration gt 239 and subjectnum ne 672 and subj ectnum ne 115 and subjectnum ne 104 and subjectnum
More informationMULTINOMIAL LOGISTIC REGRESSION
MULTINOMIAL LOGISTIC REGRESSION Model graphically: Variable Y is a dependent variable, variables X, Z, W are called regressors. Multinomial logistic regression is a generalization of the binary logistic
More informationMultiple linear regression S6
Basic medical statistics for clinical and experimental research Multiple linear regression S6 Katarzyna Jóźwiak k.jozwiak@nki.nl November 15, 2017 1/42 Introduction Two main motivations for doing multiple
More informationTopic 1. Definitions
S Topic. Definitions. Scalar A scalar is a number. 2. Vector A vector is a column of numbers. 3. Linear combination A scalar times a vector plus a scalar times a vector, plus a scalar times a vector...
More informationClass Notes: Week 8. Probit versus Logit Link Functions and Count Data
Ronald Heck Class Notes: Week 8 1 Class Notes: Week 8 Probit versus Logit Link Functions and Count Data This week we ll take up a couple of issues. The first is working with a probit link function. While
More informationChapter 9 - Correlation and Regression
Chapter 9 - Correlation and Regression 9. Scatter diagram of percentage of LBW infants (Y) and high-risk fertility rate (X ) in Vermont Health Planning Districts. 9.3 Correlation between percentage of
More information36-309/749 Experimental Design for Behavioral and Social Sciences. Sep. 22, 2015 Lecture 4: Linear Regression
36-309/749 Experimental Design for Behavioral and Social Sciences Sep. 22, 2015 Lecture 4: Linear Regression TCELL Simple Regression Example Male black wheatear birds carry stones to the nest as a form
More informationIn Class Review Exercises Vartanian: SW 540
In Class Review Exercises Vartanian: SW 540 1. Given the following output from an OLS model looking at income, what is the slope and intercept for those who are black and those who are not black? b SE
More informationRegression: Main Ideas Setting: Quantitative outcome with a quantitative explanatory variable. Example, cont.
TCELL 9/4/205 36-309/749 Experimental Design for Behavioral and Social Sciences Simple Regression Example Male black wheatear birds carry stones to the nest as a form of sexual display. Soler et al. wanted
More information4:3 LEC - PLANNED COMPARISONS AND REGRESSION ANALYSES
4:3 LEC - PLANNED COMPARISONS AND REGRESSION ANALYSES FOR SINGLE FACTOR BETWEEN-S DESIGNS Planned or A Priori Comparisons We previously showed various ways to test all possible pairwise comparisons for
More informationReview of Multiple Regression
Ronald H. Heck 1 Let s begin with a little review of multiple regression this week. Linear models [e.g., correlation, t-tests, analysis of variance (ANOVA), multiple regression, path analysis, multivariate
More informationUsing SPSS for One Way Analysis of Variance
Using SPSS for One Way Analysis of Variance This tutorial will show you how to use SPSS version 12 to perform a one-way, between- subjects analysis of variance and related post-hoc tests. This tutorial
More informationChapter 19: Logistic regression
Chapter 19: Logistic regression Self-test answers SELF-TEST Rerun this analysis using a stepwise method (Forward: LR) entry method of analysis. The main analysis To open the main Logistic Regression dialog
More informationSociology 593 Exam 2 March 28, 2002
Sociology 59 Exam March 8, 00 I. True-False. (0 points) Indicate whether the following statements are true or false. If false, briefly explain why.. A variable is called CATHOLIC. This probably means that
More information2/26/2017. PSY 512: Advanced Statistics for Psychological and Behavioral Research 2
PSY 512: Advanced Statistics for Psychological and Behavioral Research 2 When and why do we use logistic regression? Binary Multinomial Theory behind logistic regression Assessing the model Assessing predictors
More informationSPSS Output. ANOVA a b Residual Coefficients a Standardized Coefficients
SPSS Output Homework 1-1e ANOVA a Sum of Squares df Mean Square F Sig. 1 Regression 351.056 1 351.056 11.295.002 b Residual 932.412 30 31.080 Total 1283.469 31 a. Dependent Variable: Sexual Harassment
More informationLogistic Regression. Continued Psy 524 Ainsworth
Logistic Regression Continued Psy 524 Ainsworth Equations Regression Equation Y e = 1 + A+ B X + B X + B X 1 1 2 2 3 3 i A+ B X + B X + B X e 1 1 2 2 3 3 Equations The linear part of the logistic regression
More informationResearch Design - - Topic 19 Multiple regression: Applications 2009 R.C. Gardner, Ph.D.
Research Design - - Topic 19 Multiple regression: Applications 2009 R.C. Gardner, Ph.D. Curve Fitting Mediation analysis Moderation Analysis 1 Curve Fitting The investigation of non-linear functions using
More information2 Prediction and Analysis of Variance
2 Prediction and Analysis of Variance Reading: Chapters and 2 of Kennedy A Guide to Econometrics Achen, Christopher H. Interpreting and Using Regression (London: Sage, 982). Chapter 4 of Andy Field, Discovering
More informationDependent Variable Q83: Attended meetings of your town or city council (0=no, 1=yes)
Logistic Regression Kristi Andrasik COM 731 Spring 2017. MODEL all data drawn from the 2006 National Community Survey (class data set) BLOCK 1 (Stepwise) Lifestyle Values Q7: Value work Q8: Value friends
More informationChapter 19: Logistic regression
Chapter 19: Logistic regression Smart Alex s Solutions Task 1 A display rule refers to displaying an appropriate emotion in a given situation. For example, if you receive a Christmas present that you don
More informationBasic Medical Statistics Course
Basic Medical Statistics Course S7 Logistic Regression November 2015 Wilma Heemsbergen w.heemsbergen@nki.nl Logistic Regression The concept of a relationship between the distribution of a dependent variable
More informationOne-Way ANOVA. Some examples of when ANOVA would be appropriate include:
One-Way ANOVA 1. Purpose Analysis of variance (ANOVA) is used when one wishes to determine whether two or more groups (e.g., classes A, B, and C) differ on some outcome of interest (e.g., an achievement
More informationSociology 593 Exam 2 Answer Key March 28, 2002
Sociology 59 Exam Answer Key March 8, 00 I. True-False. (0 points) Indicate whether the following statements are true or false. If false, briefly explain why.. A variable is called CATHOLIC. This probably
More informationSimple Linear Regression: One Quantitative IV
Simple Linear Regression: One Quantitative IV Linear regression is frequently used to explain variation observed in a dependent variable (DV) with theoretically linked independent variables (IV). For example,
More informationESP 178 Applied Research Methods. 2/23: Quantitative Analysis
ESP 178 Applied Research Methods 2/23: Quantitative Analysis Data Preparation Data coding create codebook that defines each variable, its response scale, how it was coded Data entry for mail surveys and
More informationSPSS LAB FILE 1
SPSS LAB FILE www.mcdtu.wordpress.com 1 www.mcdtu.wordpress.com 2 www.mcdtu.wordpress.com 3 OBJECTIVE 1: Transporation of Data Set to SPSS Editor INPUTS: Files: group1.xlsx, group1.txt PROCEDURE FOLLOWED:
More informationPractical Biostatistics
Practical Biostatistics Clinical Epidemiology, Biostatistics and Bioinformatics AMC Multivariable regression Day 5 Recap Describing association: Correlation Parametric technique: Pearson (PMCC) Non-parametric:
More information7. Assumes that there is little or no multicollinearity (however, SPSS will not assess this in the [binary] Logistic Regression procedure).
1 Neuendorf Logistic Regression The Model: Y Assumptions: 1. Metric (interval/ratio) data for 2+ IVs, and dichotomous (binomial; 2-value), categorical/nominal data for a single DV... bear in mind that
More informationLAB 3 INSTRUCTIONS SIMPLE LINEAR REGRESSION
LAB 3 INSTRUCTIONS SIMPLE LINEAR REGRESSION In this lab you will first learn how to display the relationship between two quantitative variables with a scatterplot and also how to measure the strength of
More informationMultiple Regression. More Hypothesis Testing. More Hypothesis Testing The big question: What we really want to know: What we actually know: We know:
Multiple Regression Ψ320 Ainsworth More Hypothesis Testing What we really want to know: Is the relationship in the population we have selected between X & Y strong enough that we can use the relationship
More informationDaniel Boduszek University of Huddersfield
Daniel Boduszek University of Huddersfield d.boduszek@hud.ac.uk Introduction to moderator effects Hierarchical Regression analysis with continuous moderator Hierarchical Regression analysis with categorical
More informationAnalysis of Covariance. The following example illustrates a case where the covariate is affected by the treatments.
Analysis of Covariance In some experiments, the experimental units (subjects) are nonhomogeneous or there is variation in the experimental conditions that are not due to the treatments. For example, a
More informationSOS3003 Applied data analysis for social science Lecture note Erling Berge Department of sociology and political science NTNU.
SOS3003 Applied data analysis for social science Lecture note 08-00 Erling Berge Department of sociology and political science NTNU Erling Berge 00 Literature Logistic regression II Hamilton Ch 7 p7-4
More informationInteractions and Centering in Regression: MRC09 Salaries for graduate faculty in psychology
Psychology 308c Dale Berger Interactions and Centering in Regression: MRC09 Salaries for graduate faculty in psychology This example illustrates modeling an interaction with centering and transformations.
More informationModels for Binary Outcomes
Models for Binary Outcomes Introduction The simple or binary response (for example, success or failure) analysis models the relationship between a binary response variable and one or more explanatory variables.
More informationx3,..., Multiple Regression β q α, β 1, β 2, β 3,..., β q in the model can all be estimated by least square estimators
Multiple Regression Relating a response (dependent, input) y to a set of explanatory (independent, output, predictor) variables x, x 2, x 3,, x q. A technique for modeling the relationship between variables.
More informationChapter Goals. To understand the methods for displaying and describing relationship among variables. Formulate Theories.
Chapter Goals To understand the methods for displaying and describing relationship among variables. Formulate Theories Interpret Results/Make Decisions Collect Data Summarize Results Chapter 7: Is There
More information1 Correlation and Inference from Regression
1 Correlation and Inference from Regression Reading: Kennedy (1998) A Guide to Econometrics, Chapters 4 and 6 Maddala, G.S. (1992) Introduction to Econometrics p. 170-177 Moore and McCabe, chapter 12 is
More informationArea1 Scaled Score (NAPLEX) .535 ** **.000 N. Sig. (2-tailed)
Institutional Assessment Report Texas Southern University College of Pharmacy and Health Sciences "An Analysis of 2013 NAPLEX, P4-Comp. Exams and P3 courses The following analysis illustrates relationships
More information1. BINARY LOGISTIC REGRESSION
1. BINARY LOGISTIC REGRESSION The Model We are modelling two-valued variable Y. Model s scheme Variable Y is the dependent variable, X, Z, W are independent variables (regressors). Typically Y values are
More informationCHAPTER 10. Regression and Correlation
CHAPTER 10 Regression and Correlation In this Chapter we assess the strength of the linear relationship between two continuous variables. If a significant linear relationship is found, the next step would
More informationSTAT 350 Final (new Material) Review Problems Key Spring 2016
1. The editor of a statistics textbook would like to plan for the next edition. A key variable is the number of pages that will be in the final version. Text files are prepared by the authors using LaTeX,
More informationSimple Linear Regression: One Qualitative IV
Simple Linear Regression: One Qualitative IV Simple linear regression with one qualitative IV variable is essentially identical to linear regression with quantitative variables. The primary difference
More informationLecture 12: Effect modification, and confounding in logistic regression
Lecture 12: Effect modification, and confounding in logistic regression Ani Manichaikul amanicha@jhsph.edu 4 May 2007 Today Categorical predictor create dummy variables just like for linear regression
More informationPrepared by: Prof. Dr Bahaman Abu Samah Department of Professional Development and Continuing Education Faculty of Educational Studies Universiti
Prepared by: Prof. Dr Bahaman Abu Samah Department of Professional Development and Continuing Education Faculty of Educational Studies Universiti Putra Malaysia Serdang Use in experiment, quasi-experiment
More informationMcGill University. Faculty of Science MATH 204 PRINCIPLES OF STATISTICS II. Final Examination
McGill University Faculty of Science MATH 204 PRINCIPLES OF STATISTICS II Final Examination Date: 20th April 2009 Time: 9am-2pm Examiner: Dr David A Stephens Associate Examiner: Dr Russell Steele Please
More informationAMS7: WEEK 7. CLASS 1. More on Hypothesis Testing Monday May 11th, 2015
AMS7: WEEK 7. CLASS 1 More on Hypothesis Testing Monday May 11th, 2015 Testing a Claim about a Standard Deviation or a Variance We want to test claims about or 2 Example: Newborn babies from mothers taking
More informationIntroduction to Regression
Regression Introduction to Regression If two variables covary, we should be able to predict the value of one variable from another. Correlation only tells us how much two variables covary. In regression,
More informationModel Estimation Example
Ronald H. Heck 1 EDEP 606: Multivariate Methods (S2013) April 7, 2013 Model Estimation Example As we have moved through the course this semester, we have encountered the concept of model estimation. Discussions
More informationPSY 216. Assignment 9 Answers. Under what circumstances is a t statistic used instead of a z-score for a hypothesis test
PSY 216 Assignment 9 Answers 1. Problem 1 from the text Under what circumstances is a t statistic used instead of a z-score for a hypothesis test The t statistic should be used when the population standard
More informationThree Factor Completely Randomized Design with One Continuous Factor: Using SPSS GLM UNIVARIATE R. C. Gardner Department of Psychology
Data_Analysis.calm Three Factor Completely Randomized Design with One Continuous Factor: Using SPSS GLM UNIVARIATE R. C. Gardner Department of Psychology This article considers a three factor completely
More informationIndependent Samples ANOVA
Independent Samples ANOVA In this example students were randomly assigned to one of three mnemonics (techniques for improving memory) rehearsal (the control group; simply repeat the words), visual imagery
More informationChapter 15 - Multiple Regression
15.1 Predicting Quality of Life: Chapter 15 - Multiple Regression a. All other variables held constant, a difference of +1 degree in Temperature is associated with a difference of.01 in perceived Quality
More informationStep 2: Select Analyze, Mixed Models, and Linear.
Example 1a. 20 employees were given a mood questionnaire on Monday, Wednesday and again on Friday. The data will be first be analyzed using a Covariance Pattern model. Step 1: Copy Example1.sav data file
More informationSociology Research Statistics I Final Exam Answer Key December 15, 1993
Sociology 592 - Research Statistics I Final Exam Answer Key December 15, 1993 Where appropriate, show your work - partial credit may be given. (On the other hand, don't waste a lot of time on excess verbiage.)
More informationSTA6938-Logistic Regression Model
Dr. Ying Zhang STA6938-Logistic Regression Model Topic 2-Multiple Logistic Regression Model Outlines:. Model Fitting 2. Statistical Inference for Multiple Logistic Regression Model 3. Interpretation of
More informationMultiple linear regression
Multiple linear regression Course MF 930: Introduction to statistics June 0 Tron Anders Moger Department of biostatistics, IMB University of Oslo Aims for this lecture: Continue where we left off. Repeat
More informationEquation Number 1 Dependent Variable.. Y W's Childbearing expectations
Sociology 592 - Homework #10 - Advanced Multiple Regression 1. In their classic 1982 paper, Beyond Wives' Family Sociology: A Method for Analyzing Couple Data, Thomson and Williams examined the relationship
More informationA Re-Introduction to General Linear Models (GLM)
A Re-Introduction to General Linear Models (GLM) Today s Class: You do know the GLM Estimation (where the numbers in the output come from): From least squares to restricted maximum likelihood (REML) Reviewing
More information1 A Review of Correlation and Regression
1 A Review of Correlation and Regression SW, Chapter 12 Suppose we select n = 10 persons from the population of college seniors who plan to take the MCAT exam. Each takes the test, is coached, and then
More informationTests for the Odds Ratio in Logistic Regression with One Binary X (Wald Test)
Chapter 861 Tests for the Odds Ratio in Logistic Regression with One Binary X (Wald Test) Introduction Logistic regression expresses the relationship between a binary response variable and one or more
More informationLOGISTICS REGRESSION FOR SAMPLE SURVEYS
4 LOGISTICS REGRESSION FOR SAMPLE SURVEYS Hukum Chandra Indian Agricultural Statistics Research Institute, New Delhi-002 4. INTRODUCTION Researchers use sample survey methodology to obtain information
More informationUNIVERSITY OF TORONTO. Faculty of Arts and Science APRIL 2010 EXAMINATIONS STA 303 H1S / STA 1002 HS. Duration - 3 hours. Aids Allowed: Calculator
UNIVERSITY OF TORONTO Faculty of Arts and Science APRIL 2010 EXAMINATIONS STA 303 H1S / STA 1002 HS Duration - 3 hours Aids Allowed: Calculator LAST NAME: FIRST NAME: STUDENT NUMBER: There are 27 pages
More informationLogistic Regression Analysis
Logistic Regression Analysis Predicting whether an event will or will not occur, as well as identifying the variables useful in making the prediction, is important in most academic disciplines as well
More informationBinary Logistic Regression
The coefficients of the multiple regression model are estimated using sample data with k independent variables Estimated (or predicted) value of Y Estimated intercept Estimated slope coefficients Ŷ = b
More informationSTA 431s17 Assignment Eight 1
STA 43s7 Assignment Eight The first three questions of this assignment are about how instrumental variables can help with measurement error and omitted variables at the same time; see Lecture slide set
More informationOne-Way ANOVA Source Table J - 1 SS B / J - 1 MS B /MS W. Pairwise Post-Hoc Comparisons of Means
One-Way ANOVA Source Table ANOVA MODEL: ij = µ* + α j + ε ij H 0 : µ 1 = µ =... = µ j or H 0 : Σα j = 0 Source Sum of Squares df Mean Squares F Between Groups n j ( j - * ) J - 1 SS B / J - 1 MS B /MS
More informationChapter 4 Regression with Categorical Predictor Variables Page 1. Overview of regression with categorical predictors
Chapter 4 Regression with Categorical Predictor Variables Page. Overview of regression with categorical predictors 4-. Dummy coding 4-3 4-5 A. Karpinski Regression with Categorical Predictor Variables.
More informationy response variable x 1, x 2,, x k -- a set of explanatory variables
11. Multiple Regression and Correlation y response variable x 1, x 2,, x k -- a set of explanatory variables In this chapter, all variables are assumed to be quantitative. Chapters 12-14 show how to incorporate
More informationSimple, Marginal, and Interaction Effects in General Linear Models: Part 1
Simple, Marginal, and Interaction Effects in General Linear Models: Part 1 PSYC 943 (930): Fundamentals of Multivariate Modeling Lecture 2: August 24, 2012 PSYC 943: Lecture 2 Today s Class Centering and
More information(Where does Ch. 7 on comparing 2 means or 2 proportions fit into this?)
12. Comparing Groups: Analysis of Variance (ANOVA) Methods Response y Explanatory x var s Method Categorical Categorical Contingency tables (Ch. 8) (chi-squared, etc.) Quantitative Quantitative Regression
More informationRegression ( Kemampuan Individu, Lingkungan kerja dan Motivasi)
Regression (, Lingkungan kerja dan ) Descriptive Statistics Mean Std. Deviation N 3.87.333 32 3.47.672 32 3.78.585 32 s Pearson Sig. (-tailed) N Kemampuan Lingkungan Individu Kerja.000.432.49.432.000.3.49.3.000..000.000.000..000.000.000.
More informationDesigning Multilevel Models Using SPSS 11.5 Mixed Model. John Painter, Ph.D.
Designing Multilevel Models Using SPSS 11.5 Mixed Model John Painter, Ph.D. Jordan Institute for Families School of Social Work University of North Carolina at Chapel Hill 1 Creating Multilevel Models
More informationMore Accurately Analyze Complex Relationships
SPSS Advanced Statistics 17.0 Specifications More Accurately Analyze Complex Relationships Make your analysis more accurate and reach more dependable conclusions with statistics designed to fit the inherent
More informationChapter 15 - Multiple Regression
15.1 Predicting Quality of Life: Chapter 15 - Multiple Regression a. All other variables held constant, a difference of +1 degree in Temperature is associated with a difference of.01 in perceived Quality
More informationRetrieve and Open the Data
Retrieve and Open the Data 1. To download the data, click on the link on the class website for the SPSS syntax file for lab 1. 2. Open the file that you downloaded. 3. In the SPSS Syntax Editor, click
More informationLongitudinal Modeling with Logistic Regression
Newsom 1 Longitudinal Modeling with Logistic Regression Longitudinal designs involve repeated measurements of the same individuals over time There are two general classes of analyses that correspond to
More information" M A #M B. Standard deviation of the population (Greek lowercase letter sigma) σ 2
Notation and Equations for Final Exam Symbol Definition X The variable we measure in a scientific study n The size of the sample N The size of the population M The mean of the sample µ The mean of the
More informationNATIONAL UNIVERSITY OF SINGAPORE EXAMINATION. ST3241 Categorical Data Analysis. (Semester II: ) April/May, 2011 Time Allowed : 2 Hours
NATIONAL UNIVERSITY OF SINGAPORE EXAMINATION Categorical Data Analysis (Semester II: 2010 2011) April/May, 2011 Time Allowed : 2 Hours Matriculation No: Seat No: Grade Table Question 1 2 3 4 5 6 Full marks
More informationAnalysis of Covariance (ANCOVA) with Two Groups
Chapter 226 Analysis of Covariance (ANCOVA) with Two Groups Introduction This procedure performs analysis of covariance (ANCOVA) for a grouping variable with 2 groups and one covariate variable. This procedure
More informationInferences for Regression
Inferences for Regression An Example: Body Fat and Waist Size Looking at the relationship between % body fat and waist size (in inches). Here is a scatterplot of our data set: Remembering Regression In
More informationEPSY 905: Fundamentals of Multivariate Modeling Online Lecture #7
Introduction to Generalized Univariate Models: Models for Binary Outcomes EPSY 905: Fundamentals of Multivariate Modeling Online Lecture #7 EPSY 905: Intro to Generalized In This Lecture A short review
More informationCorrelation and simple linear regression S5
Basic medical statistics for clinical and eperimental research Correlation and simple linear regression S5 Katarzyna Jóźwiak k.jozwiak@nki.nl November 15, 2017 1/41 Introduction Eample: Brain size and
More informationSPSS Guide For MMI 409
SPSS Guide For MMI 409 by John Wong March 2012 Preface Hopefully, this document can provide some guidance to MMI 409 students on how to use SPSS to solve many of the problems covered in the D Agostino
More informationCorrelation and regression
1 Correlation and regression Yongjua Laosiritaworn Introductory on Field Epidemiology 6 July 2015, Thailand Data 2 Illustrative data (Doll, 1955) 3 Scatter plot 4 Doll, 1955 5 6 Correlation coefficient,
More informationSTA 303 H1S / 1002 HS Winter 2011 Test March 7, ab 1cde 2abcde 2fghij 3
STA 303 H1S / 1002 HS Winter 2011 Test March 7, 2011 LAST NAME: FIRST NAME: STUDENT NUMBER: ENROLLED IN: (circle one) STA 303 STA 1002 INSTRUCTIONS: Time: 90 minutes Aids allowed: calculator. Some formulae
More informationSimple logistic regression
Simple logistic regression Biometry 755 Spring 2009 Simple logistic regression p. 1/47 Model assumptions 1. The observed data are independent realizations of a binary response variable Y that follows a
More informationModel Based Statistics in Biology. Part V. The Generalized Linear Model. Chapter 18.1 Logistic Regression (Dose - Response)
Model Based Statistics in Biology. Part V. The Generalized Linear Model. Logistic Regression ( - Response) ReCap. Part I (Chapters 1,2,3,4), Part II (Ch 5, 6, 7) ReCap Part III (Ch 9, 10, 11), Part IV
More informationAssoc.Prof.Dr. Wolfgang Feilmayr Multivariate Methods in Regional Science: Regression and Correlation Analysis REGRESSION ANALYSIS
REGRESSION ANALYSIS Regression Analysis can be broadly defined as the analysis of statistical relationships between one dependent and one or more independent variables. Although the terms dependent and
More informationUtilization of Addictions Services
Utilization of Addictions Services Statistical Consulting Report for Sydney Weaver School of Social Work University of British Columbia by Lucy Cheng Department of Statistics University of British Columbia
More informationSimple Linear Regression
Simple Linear Regression 1 Correlation indicates the magnitude and direction of the linear relationship between two variables. Linear Regression: variable Y (criterion) is predicted by variable X (predictor)
More informationModule 8: Linear Regression. The Applied Research Center
Module 8: Linear Regression The Applied Research Center Module 8 Overview } Purpose of Linear Regression } Scatter Diagrams } Regression Equation } Regression Results } Example Purpose } To predict scores
More informationContrasts (in general)
10/1/015 6-09/749 Experimental Design for Behavioral and Social Sciences Contrasts (in general) Context: An ANOVA rejects the overall null hypothesis that all k means of some factor are not equal, i.e.,
More informationMultiple Linear Regression II. Lecture 8. Overview. Readings
Multiple Linear Regression II Lecture 8 Image source:https://commons.wikimedia.org/wiki/file:autobunnskr%c3%a4iz-ro-a201.jpg Survey Research & Design in Psychology James Neill, 2016 Creative Commons Attribution
More information