General Linear Model

Similar documents
General Linear Model. Notes Output Created Comments Input. 19-Dec :09:44

Descriptive Statistics

Correlations. Notes. Output Created Comments 04-OCT :34:52

Multivariate Tests. Mauchly's Test of Sphericity

Prepared by: Prof. Dr Bahaman Abu Samah Department of Professional Development and Continuing Education Faculty of Educational Studies Universiti

Univariate Analysis of Variance

T. Mark Beasley One-Way Repeated Measures ANOVA handout

Repeated-Measures ANOVA in SPSS Correct data formatting for a repeated-measures ANOVA in SPSS involves having a single line of data for each

GLM Repeated-measures designs: One within-subjects factor

GLM Repeated Measures

Stevens 2. Aufl. S Multivariate Tests c

ANOVA in SPSS. Hugo Quené. opleiding Taalwetenschap Universiteit Utrecht Trans 10, 3512 JK Utrecht.

Psy 420 Final Exam Fall 06 Ainsworth. Key Name

ANCOVA. Psy 420 Andrew Ainsworth

MANOVA is an extension of the univariate ANOVA as it involves more than one Dependent Variable (DV). The following are assumptions for using MANOVA:

ANOVA Longitudinal Models for the Practice Effects Data: via GLM

Regression. Notes. Page 1. Output Created Comments 25-JAN :29:55

UV Absorbance by Fish Slime

Introduction. Introduction

WITHIN-PARTICIPANT EXPERIMENTAL DESIGNS

Repeated Measures Analysis of Variance

Research Design - - Topic 12 MRC Analysis and Two Factor Designs: Completely Randomized and Repeated Measures 2010 R.C. Gardner, Ph.D.

Advanced Quantitative Data Analysis

*************NO YOGA!!!!!!!************************************.

Chapter 14: Repeated-measures designs

SPSS Guide For MMI 409

BIOL 458 BIOMETRY Lab 8 - Nested and Repeated Measures ANOVA

M A N O V A. Multivariate ANOVA. Data

1 DV is normally distributed in the population for each level of the within-subjects factor 2 The population variances of the difference scores

Other hypotheses of interest (cont d)

Neuendorf MANOVA /MANCOVA. Model: X1 (Factor A) X2 (Factor B) X1 x X2 (Interaction) Y4. Like ANOVA/ANCOVA:

Three Factor Completely Randomized Design with One Continuous Factor: Using SPSS GLM UNIVARIATE R. C. Gardner Department of Psychology

Checking model assumptions with regression diagnostics

Entering and recoding variables

Chapter 9. Multivariate and Within-cases Analysis. 9.1 Multivariate Analysis of Variance

Repeated Measures ANOVA Multivariate ANOVA and Their Relationship to Linear Mixed Models

Neuendorf MANOVA /MANCOVA. Model: X1 (Factor A) X2 (Factor B) X1 x X2 (Interaction) Y4. Like ANOVA/ANCOVA:

Topic 12. The Split-plot Design and its Relatives (continued) Repeated Measures

International Journal of Current Research in Biosciences and Plant Biology ISSN: Volume 2 Number 5 (May-2015) pp

Using the GLM Procedure in SPSS

Analysis of Longitudinal Data: Comparison Between PROC GLM and PROC MIXED. Maribeth Johnson Medical College of Georgia Augusta, GA

ANOVA approaches to Repeated Measures. repeated measures MANOVA (chapter 3)

Analysis of Repeated Measures Data of Iraqi Awassi Lambs Using Mixed Model

Statistics Lab One-way Within-Subject ANOVA

Notes on Maxwell & Delaney

MANOVA MANOVA,$/,,# ANOVA ##$%'*!# 1. $!;' *$,$!;' (''

Chapter 7, continued: MANOVA

Neuendorf MANOVA /MANCOVA. Model: MAIN EFFECTS: X1 (Factor A) X2 (Factor B) INTERACTIONS : X1 x X2 (A x B Interaction) Y4. Like ANOVA/ANCOVA:

H0: Tested by k-grp ANOVA

Application of Ghosh, Grizzle and Sen s Nonparametric Methods in. Longitudinal Studies Using SAS PROC GLM

Applied Multivariate Analysis

An Introduction to Multivariate Statistical Analysis

Applied Multivariate Statistical Modeling Prof. J. Maiti Department of Industrial Engineering and Management Indian Institute of Technology, Kharagpur

Chapter 5: Multivariate Analysis and Repeated Measures

1998, Gregory Carey Repeated Measures ANOVA - 1. REPEATED MEASURES ANOVA (incomplete)

Research Design - - Topic 8 Hierarchical Designs in Analysis of Variance (Kirk, Chapter 11) 2008 R.C. Gardner, Ph.D.

Multivariate analysis of variance and covariance

STAT 501 Assignment 2 NAME Spring Chapter 5, and Sections in Johnson & Wichern.

Analysis of repeated measurements (KLMED8008)

SAVE OUTFILE='C:\Documents and Settings\ddelgad1\Desktop\FactorAnalysis.sav' /COMPRESSED.

4:3 LEC - PLANNED COMPARISONS AND REGRESSION ANALYSES

TWO-FACTOR AGRICULTURAL EXPERIMENT WITH REPEATED MEASURES ON ONE FACTOR IN A COMPLETE RANDOMIZED DESIGN

Longitudinal data: simple univariate methods of analysis

Construct factor from dummy variables Group 1 Group 2 Group 3 Group 4

M M Cross-Over Designs

Topic 12. The Split-plot Design and its Relatives (Part II) Repeated Measures [ST&D Ch. 16] 12.9 Repeated measures analysis

8/28/2017. Repeated-Measures ANOVA. 1. Situation/hypotheses. 2. Test statistic. 3.Distribution. 4. Assumptions

One-Way ANOVA Source Table J - 1 SS B / J - 1 MS B /MS W. Pairwise Post-Hoc Comparisons of Means

Levene's Test of Equality of Error Variances a

sphericity, 5-29, 5-32 residuals, 7-1 spread and level, 2-17 t test, 1-13 transformations, 2-15 violations, 1-19

SPSS LAB FILE 1

Introduction to Power and Sample Size Analysis

Example 1 describes the results from analyzing these data for three groups and two variables contained in test file manova1.tf3.

Repeated Measures Part 2: Cartoon data

Stats fest Analysis of variance. Single factor ANOVA. Aims. Single factor ANOVA. Data

same hypothesis Assumptions N = subjects K = groups df 1 = between (numerator) df 2 = within (denominator)

Lecture 5: Hypothesis tests for more than one sample

N J SS W /df W N - 1

N Utilization of Nursing Research in Advanced Practice, Summer 2008

Dependent Variable Q83: Attended meetings of your town or city council (0=no, 1=yes)

More Accurately Analyze Complex Relationships

STAT 501 EXAM I NAME Spring 1999

Research Methodology: Tools

Least Squares Analyses of Variance and Covariance

Hotelling s One- Sample T2

Mixed- Model Analysis of Variance. Sohad Murrar & Markus Brauer. University of Wisconsin- Madison. Target Word Count: Actual Word Count: 2755

Covariance Structure Approach to Within-Cases

ANOVA continued. Chapter 10

ANOVA continued. Chapter 11

Frequency Distribution Cross-Tabulation

Lecture Notes #12: MANOVA & Canonical Correlation 12-1

Logbook Authors: Rens van de Schoot, Joris J. Broere, Koen H. Perryck, Mariëlle Zondervan - Zwijnenburg, Nancy E.E. van Loey

Interactions between Binary & Quantitative Predictors

Analysis of Covariance (ANCOVA) Lecture Notes

Degrees of freedom df=1. Limitations OR in SPSS LIM: Knowing σ and µ is unlikely in large

Aligned Rank Tests for Interactions in Split-Plot Designs: Distributional Assumptions and Stochastic Heterogeneity

You can compute the maximum likelihood estimate for the correlation

The SAS System 18:28 Saturday, March 10, Plot of Canonical Variables Identified by Cluster

ANOVA continued. Chapter 10

Postgraduate course: Anova and Repeated measurements Day 2 (part 2) Mogens Erlandsen, Department of Biostatistics, Aarhus University, November 2010

Transcription:

GLM V1 V2 V3 V4 V5 V11 V12 V13 V14 V15 /WSFACTOR=placeholders 2 Polynomial target 5 Polynomial /METHOD=SSTYPE(3) /EMMEANS=TABLES(OVERALL) /EMMEANS=TABLES(placeholders) COMPARE ADJ(SIDAK) /EMMEANS=TABLES(target) COMPARE ADJ(SIDAK) /EMMEANS=TABLES(placeholders*target) COMPARE(placeholders) ADJ(SIDAK) /EMMEANS=TABLES(placeholders*target) COMPARE(target) ADJ(SIDAK) /PRINT=DESCRIPTIVE ETASQ OPOWER /CRITERIA=ALPHA(.05) /WSDESIGN=placeholders target placeholders*target. General Linear Model Output Created Comments Notes 2010-09-03T11:12:48.000 Input Data /Users/jarrodblinch/Documents/1b_phd_4a/fitts /spss/wey_all.sav Missing Value Handling Syntax Active Dataset Filter Weight Split File N of Rows in Working Data File 20 Definition of Missing Cases Used DataSet1 <none> <none> <none> Resources Processor Time 0:00:00.099 Elapsed Time 0:00:00.000 User-defined missing values are treated as missing. Statistics are based on all cases with valid data for all variables in the model. GLM V1 V2 V3 V4 V5 V11 V12 V13 V14 V15 /WSFACTOR=placeholders 2 Polynomial target 5 Polynomial /METHOD=SSTYPE(3) /EMMEANS=TABLES(OVERALL) /EMMEANS=TABLES(placeholders) COMPARE ADJ(SIDAK) /EMMEANS=TABLES(target) COMPARE ADJ(SIDAK) /EMMEANS=TABLES(placeholders*target) COMPARE(placeholders) ADJ(SIDAK) /EMMEANS=TABLES(placeholders*target) COMPARE(target) ADJ(SIDAK) /PRINT=DESCRIPTIVE ETASQ OPOWER /CRITERIA=ALPHA(.05) /WSDESIGN=placeholders target placeholders*target. [DataSet1] /Users/jarrodblinch/Documents/1b_phd_4a/fitts/spss/wey_all.sav 1 of 16 03/09/10 11:25 AM

Within-Subjects Factors placeholders target 1 1 V1 2 V2 3 V3 4 V4 5 V5 2 1 V11 2 V12 3 V13 4 V14 5 V15 Dependent Variable Descriptive Statistics Mean Std. Deviation N V1 9.221 3.0706 20 V2 8.761 2.8215 20 V3 9.657 3.4145 20 V4 9.442 2.4487 20 V5 9.121 2.3757 20 V11 8.701 2.4770 20 V12 8.700 2.5473 20 V13 8.376 2.7155 20 V14 9.081 2.2977 20 V15 9.773 3.2953 20 Multivariate Tests c Effect Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Power b placeholders Pillai's Trace.048.956 a 1.000 19.000.341.048.956.153 Wilks' Lambda.952.956 a 1.000 19.000.341.048.956.153 Hotelling's Trace.050.956 a 1.000 19.000.341.048.956.153 Roy's Largest Root.050.956 a 1.000 19.000.341.048.956.153 target Pillai's Trace.263 1.430 a 4.000 16.000.269.263 5.719.344 Wilks' Lambda.737 1.430 a 4.000 16.000.269.263 5.719.344 Hotelling's Trace.357 1.430 a 4.000 16.000.269.263 5.719.344 Roy's Largest Root.357 1.430 a 4.000 16.000.269.263 5.719.344 placeholders * target Pillai's Trace.293 1.659 a 4.000 16.000.208.293 6.636.396 Wilks' Lambda.707 1.659 a 4.000 16.000.208.293 6.636.396 Hotelling's Trace.415 1.659 a 4.000 16.000.208.293 6.636.396 Roy's Largest Root.415 1.659 a 4.000 16.000.208.293 6.636.396 a. Exact statistic 2 of 16 03/09/10 11:25 AM

b. Computed using alpha =.05 c. Design: Intercept Within Subjects Design: placeholders + target + placeholders * target Mauchly's Test of Sphericity b Within Subjects Effect Mauchly's W Approx. Chi-Square df Sig. Epsilon a Greenhouse-Geisser Huynh-Feldt Lower-bound placeholders 1.000.000 0. 1.000 1.000 1.000 target.414 15.359 9.083.697.829.250 placeholders * target.512 11.656 9.235.737.887.250 Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a. May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b. Design: Intercept Within Subjects Design: placeholders + target + placeholders * target Tests of Within-Subjects Effects Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Noncent. Parameter Observed Power a placeholders Sphericity Assumed 4.937 1 4.937.956.341.048.956.153 Greenhouse-Geisser 4.937 1.000 4.937.956.341.048.956.153 Huynh-Feldt 4.937 1.000 4.937.956.341.048.956.153 Lower-bound 4.937 1.000 4.937.956.341.048.956.153 Error(placeholders) Sphericity Assumed 98.157 19 5.166 Greenhouse-Geisser 98.157 19.000 5.166 Huynh-Feldt 98.157 19.000 5.166 Lower-bound 98.157 19.000 5.166 target Sphericity Assumed 12.306 4 3.077 1.305.276.064 5.221.389 Greenhouse-Geisser 12.306 2.789 4.413 1.305.282.064 3.640.317 Huynh-Feldt 12.306 3.317 3.710 1.305.280.064 4.330.349 Lower-bound 12.306 1.000 12.306 1.305.267.064 1.305.192 Error(target) Sphericity Assumed 179.139 76 2.357 Greenhouse-Geisser 179.139 52.986 3.381 Huynh-Feldt 179.139 63.025 2.842 Lower-bound 179.139 19.000 9.428 placeholders * target Sphericity Assumed 19.769 4 4.942 1.610.181.078 6.438.474 Greenhouse-Geisser 19.769 2.948 6.706 1.610.198.078 4.745.397 Huynh-Feldt 19.769 3.548 5.571 1.610.188.078 5.711.442 Lower-bound 19.769 1.000 19.769 1.610.220.078 1.610.226 Error(placeholders*target) Sphericity Assumed 233.364 76 3.071 Greenhouse-Geisser 233.364 56.011 4.166 Huynh-Feldt 233.364 67.420 3.461 3 of 16 03/09/10 11:25 AM

a. Computed using alpha =.05 Lower-bound 233.364 19.000 12.282 Tests of Within-Subjects Contrasts Source placeholders target Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Noncent. Parameter Observed Power a placeholders Linear target 4.937 1 4.937.956.341.048.956.153 Error(placeholders) Linear target 98.157 19 5.166 target placeholders * target Linear 9.032 1 9.032 5.023.037.209 5.023.566 Quadratic 1.779 1 1.779.853.367.043.853.142 Cubic 1.327 1 1.327.778.389.039.778.133 Order 4.168 1.168.044.837.002.044.055 Error(target) placeholders * target Linear 34.165 19 1.798 Quadratic 39.605 19 2.084 Cubic 32.424 19 1.707 Order 4 72.946 19 3.839 placeholders * target Linear Linear 4.185 1 4.185.727.405.037.727.128 Quadratic 7.529 1 7.529 4.067.058.176 4.067.482 Cubic 3.136 1 3.136 1.490.237.073 1.490.213 Order 4 4.919 1 4.919 1.915.182.092 1.915.260 Error(placeholders*target) Linear Linear 109.397 19 5.758 Quadratic 35.173 19 1.851 Cubic 40.005 19 2.106 Order 4 48.789 19 2.568 a. Computed using alpha =.05 Transformed Variable:Average Tests of Between-Subjects Effects Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Noncent. Parameter Observed Power a Intercept 16501.001 1 16501.001 330.366.000.946 330.366 1.000 Error 949.004 19 49.948 a. Computed using alpha =.05 Estimated Marginal Means 1. Grand Mean 4 of 16 03/09/10 11:25 AM

95% Confidence Interval Mean Std. Error Lower Bound Upper Bound 9.083.500 8.037 10.129 2. placeholders Estimates 95% Confidence Interval placeholders Mean Std. Error Lower Bound Upper Bound 1 9.240.570 8.047 10.433 2 8.926.476 7.931 9.922 (I) placeholders (J) placeholders Pairwise Comparisons Mean Difference (I-J) Std. Error Sig. a 95% Confidence Interval for Difference a Lower Bound Upper Bound 1 2.314.321.341 -.359.987 2 1 -.314.321.341 -.987.359 Based on estimated marginal means a. Adjustment for multiple comparisons: Sidak. Multivariate Tests Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Power b Pillai's trace.048.956 a 1.000 19.000.341.048.956.153 Wilks' lambda.952.956 a 1.000 19.000.341.048.956.153 Hotelling's trace.050.956 a 1.000 19.000.341.048.956.153 Roy's largest root.050.956 a 1.000 19.000.341.048.956.153 Each F tests the multivariate effect of placeholders. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means. a. Exact statistic b. Computed using alpha =.05 3. target 5 of 16 03/09/10 11:25 AM

Estimates 95% Confidence Interval target Mean Std. Error Lower Bound Upper Bound 1 8.961.535 7.840 10.081 2 8.730.513 7.656 9.805 3 9.017.629 7.700 10.334 4 9.261.460 8.299 10.224 5 9.447.572 8.250 10.643 (I) target (J) target Mean Difference (I-J) Pairwise Comparisons Std. Error Sig. a 95% Confidence Interval for Difference a Lower Bound Upper Bound 1 2.230.241.987 -.531.991 3 -.056.400 1.000-1.323 1.210 4 -.301.217.867 -.988.387 5 -.486.318.787-1.492.520 2 1 -.230.241.987 -.991.531 3 -.287.378.998-1.482.909 4 -.531.272.495-1.392.330 5 -.716.334.371-1.773.341 3 1.056.400 1.000-1.210 1.323 2.287.378.998 -.909 1.482 4 -.244.463 1.000-1.708 1.219 5 -.430.392.966-1.671.811 4 1.301.217.867 -.387.988 2.531.272.495 -.330 1.392 3.244.463 1.000-1.219 1.708 5 -.185.340 1.000-1.261.891 5 1.486.318.787 -.520 1.492 2.716.334.371 -.341 1.773 3.430.392.966 -.811 1.671 4.185.340 1.000 -.891 1.261 Based on estimated marginal means a. Adjustment for multiple comparisons: Sidak. Multivariate Tests Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Power b Pillai's trace.263 1.430 a 4.000 16.000.269.263 5.719.344 Wilks' lambda.737 1.430 a 4.000 16.000.269.263 5.719.344 Hotelling's trace.357 1.430 a 4.000 16.000.269.263 5.719.344 Roy's largest root.357 1.430 a 4.000 16.000.269.263 5.719.344 Each F tests the multivariate effect of target. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means. 6 of 16 03/09/10 11:25 AM

a. Exact statistic b. Computed using alpha =.05 4. placeholders * target Estimates 95% Confidence Interval placeholders target Mean Std. Error Lower Bound Upper Bound 1 1 9.221.687 7.784 10.658 2 8.761.631 7.441 10.082 3 9.657.763 8.059 11.255 4 9.442.548 8.296 10.588 5 9.121.531 8.009 10.233 2 1 8.701.554 7.541 9.860 2 8.700.570 7.508 9.892 3 8.376.607 7.106 9.647 4 9.081.514 8.006 10.156 5 9.773.737 8.230 11.315 target (I) placeholders (J) placeholders Pairwise Comparisons Mean Difference (I-J) Std. Error Sig. a 95% Confidence Interval for Difference a Lower Bound Upper Bound 1 1 2.520.640.426 -.819 1.860 2 1 -.520.640.426-1.860.819 2 1 2.061.626.923-1.248 1.371 2 1 -.061.626.923-1.371 1.248 3 1 2 2 1 1.281 *.565.035.098 2.464-1.281 *.565.035-2.464 -.098 4 1 2.360.531.505 -.751 1.472 2 1 -.360.531.505-1.472.751 5 1 2 -.652.585.279-1.877.573 2 1.652.585.279 -.573 1.877 Based on estimated marginal means a. Adjustment for multiple comparisons: Sidak. *. The mean difference is significant at the.05 level. Multivariate Tests target Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Power b 7 of 16 03/09/10 11:25 AM

1 Pillai's trace.034.661 a 1.000 19.000.426.034.661.121 Wilks' lambda.966.661 a 1.000 19.000.426.034.661.121 Hotelling's trace.035.661 a 1.000 19.000.426.034.661.121 Roy's largest root.035.661 a 1.000 19.000.426.034.661.121 2 Pillai's trace.001.010 a 1.000 19.000.923.001.010.051 Wilks' lambda.999.010 a 1.000 19.000.923.001.010.051 Hotelling's trace.001.010 a 1.000 19.000.923.001.010.051 Roy's largest root.001.010 a 1.000 19.000.923.001.010.051 3 Pillai's trace.213 5.134 a 1.000 19.000.035.213 5.134.576 Wilks' lambda.787 5.134 a 1.000 19.000.035.213 5.134.576 Hotelling's trace.270 5.134 a 1.000 19.000.035.213 5.134.576 Roy's largest root.270 5.134 a 1.000 19.000.035.213 5.134.576 4 Pillai's trace.024.461 a 1.000 19.000.505.024.461.099 Wilks' lambda.976.461 a 1.000 19.000.505.024.461.099 Hotelling's trace.024.461 a 1.000 19.000.505.024.461.099 Roy's largest root.024.461 a 1.000 19.000.505.024.461.099 5 Pillai's trace.061 1.242 a 1.000 19.000.279.061 1.242.185 Wilks' lambda.939 1.242 a 1.000 19.000.279.061 1.242.185 Hotelling's trace.065 1.242 a 1.000 19.000.279.061 1.242.185 Roy's largest root.065 1.242 a 1.000 19.000.279.061 1.242.185 Each F tests the multivariate simple effects of placeholders within each level combination of the other effects shown. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means. a. Exact statistic b. Computed using alpha =.05 5. placeholders * target Estimates 95% Confidence Interval placeholders target Mean Std. Error Lower Bound Upper Bound 1 1 9.221.687 7.784 10.658 2 8.761.631 7.441 10.082 3 9.657.763 8.059 11.255 4 9.442.548 8.296 10.588 5 9.121.531 8.009 10.233 2 1 8.701.554 7.541 9.860 8 of 16 03/09/10 11:25 AM

2 8.700.570 7.508 9.892 3 8.376.607 7.106 9.647 4 9.081.514 8.006 10.156 5 9.773.737 8.230 11.315 placeholders (I) target (J) target Pairwise Comparisons Mean Difference (I-J) Std. Error Sig. a 95% Confidence Interval for Difference a Lower Bound Upper Bound 1 1 2.460.401.954 -.808 1.728 3 -.436.493.992-1.995 1.122 4 -.221.435 1.000-1.596 1.155 5.100.494 1.000-1.463 1.664 2 1 -.460.401.954-1.728.808 3 -.896.510.632-2.511.718 4 -.681.394.653-1.927.566 5 -.360.407.993-1.647.928 3 1.436.493.992-1.122 1.995 2.896.510.632 -.718 2.511 4.216.521 1.000-1.432 1.864 5.537.405.894 -.745 1.819 4 1.221.435 1.000-1.155 1.596 2.681.394.653 -.566 1.927 3 -.216.521 1.000-1.864 1.432 5.321.442.998-1.077 1.719 5 1 -.100.494 1.000-1.664 1.463 2.360.407.993 -.928 1.647 3 -.537.405.894-1.819.745 4 -.321.442.998-1.719 1.077 2 1 2.001.347 1.000-1.096 1.097 3.324.560 1.000-1.447 2.095 4 -.381.470.996-1.869 1.108 5-1.072.661.725-3.162 1.017 2 1.000.347 1.000-1.097 1.096 3.323.588 1.000-1.536 2.183 4 -.381.549.999-2.117 1.354 5-1.073.730.821-3.381 1.236 3 1 -.324.560 1.000-2.095 1.447 2 -.323.588 1.000-2.183 1.536 4 -.705.596.945-2.590 1.180 5-1.396.648.365-3.447.655 4 1.381.470.996-1.108 1.869 2.381.549.999-1.354 2.117 3.705.596.945-1.180 2.590 5 -.691.577.940-2.516 1.133 5 1 1.072.661.725-1.017 3.162 9 of 16 03/09/10 11:25 AM

2 1.073.730.821-1.236 3.381 3 1.396.648.365 -.655 3.447 4.691.577.940-1.133 2.516 Based on estimated marginal means a. Adjustment for multiple comparisons: Sidak. Multivariate Tests placeholders Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Power b 1 Pillai's trace.201 1.009 a 4.000 16.000.432.201 4.035.248 Wilks' lambda.799 1.009 a 4.000 16.000.432.201 4.035.248 Hotelling's trace.252 1.009 a 4.000 16.000.432.201 4.035.248 Roy's largest root.252 1.009 a 4.000 16.000.432.201 4.035.248 2 Pillai's trace.203 1.017 a 4.000 16.000.428.203 4.067.250 Wilks' lambda.797 1.017 a 4.000 16.000.428.203 4.067.250 Hotelling's trace.254 1.017 a 4.000 16.000.428.203 4.067.250 Roy's largest root.254 1.017 a 4.000 16.000.428.203 4.067.250 Each F tests the multivariate simple effects of target within each level combination of the other effects shown. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means. a. Exact statistic b. Computed using alpha =.05 GLM V1 V2 V3 V4 V5 V11 V12 V13 V14 V15 /WSFACTOR=omnibus 10 Polynomial /METHOD=SSTYPE(3) /EMMEANS=TABLES(OVERALL) /EMMEANS=TABLES(omnibus) COMPARE ADJ(SIDAK) /PRINT=DESCRIPTIVE ETASQ OPOWER /CRITERIA=ALPHA(.05) /WSDESIGN=omnibus. General Linear Model Output Created Comments Notes 2010-09-03T11:12:54.000 Input Data /Users/jarrodblinch/Documents/1b_phd_4a/fitts /spss/wey_all.sav Active Dataset Filter Weight Split File DataSet1 <none> <none> <none> 10 of 16 03/09/10 11:25 AM

Missing Value Handling Syntax N of Rows in Working Data File Definition of Missing Cases Used Resources Processor Time 0:00:00.089 20 Elapsed Time 0:00:00.000 User-defined missing values are treated as missing. Statistics are based on all cases with valid data for all variables in the model. GLM V1 V2 V3 V4 V5 V11 V12 V13 V14 V15 /WSFACTOR=omnibus 10 Polynomial /METHOD=SSTYPE(3) /EMMEANS=TABLES(OVERALL) /EMMEANS=TABLES(omnibus) COMPARE ADJ(SIDAK) /PRINT=DESCRIPTIVE ETASQ OPOWER /CRITERIA=ALPHA(.05) /WSDESIGN=omnibus. [DataSet1] /Users/jarrodblinch/Documents/1b_phd_4a/fitts/spss/wey_all.sav Within-Subjects Factors omnibus 1 V1 2 V2 3 V3 4 V4 5 V5 6 V11 7 V12 8 V13 9 V14 10 V15 Dependent Variable Descriptive Statistics Mean Std. Deviation N V1 9.221 3.0706 20 V2 8.761 2.8215 20 V3 9.657 3.4145 20 V4 9.442 2.4487 20 V5 9.121 2.3757 20 V11 8.701 2.4770 20 V12 8.700 2.5473 20 V13 8.376 2.7155 20 V14 9.081 2.2977 20 V15 9.773 3.2953 20 Multivariate Tests c Effect Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Power b 11 of 16 03/09/10 11:25 AM

omnibus Pillai's Trace.493 1.188 a 9.000 11.000.387.493 10.691.326 a. Exact statistic Wilks' Lambda.507 1.188 a 9.000 11.000.387.493 10.691.326 Hotelling's Trace.972 1.188 a 9.000 11.000.387.493 10.691.326 Roy's Largest Root.972 1.188 a 9.000 11.000.387.493 10.691.326 b. Computed using alpha =.05 c. Design: Intercept Within Subjects Design: omnibus Within Subjects Effect Mauchly's W Mauchly's Test of Sphericity b Approx. Chi-Square df Sig. Epsilon a Greenhouse-Geisser Huynh-Feldt Lower-bound omnibus.043 49.628 44.290.600.866.111 Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a. May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b. Design: Intercept Within Subjects Design: omnibus Tests of Within-Subjects Effects Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Noncent. Parameter Observed Power a omnibus Sphericity Assumed 37.012 9 4.112 1.377.202.068 12.394.652 Greenhouse-Geisser 37.012 5.401 6.852 1.377.236.068 7.438.489 Huynh-Feldt 37.012 7.797 4.747 1.377.213.068 10.737.604 Lower-bound 37.012 1.000 37.012 1.377.255.068 1.377.200 Error(omnibus) Sphericity Assumed 510.660 171 2.986 Greenhouse-Geisser 510.660 102.628 4.976 Huynh-Feldt 510.660 148.146 3.447 Lower-bound 510.660 19.000 26.877 a. Computed using alpha =.05 Tests of Within-Subjects Contrasts Source omnibus Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Noncent. Parameter Observed Power a omnibus Linear.206 1.206.049.827.003.049.055 Quadratic 5.280 1 5.280.847.369.043.847.141 Cubic 19.541 1 19.541 6.719.018.261 6.719.691 Order 4 2.262 1 2.262 1.327.264.065 1.327.194 Order 5 4.422 1 4.422 2.784.112.128 2.784.354 Order 6 1.631 1 1.631.609.445.031.609.115 Order 7 2.947 1 2.947 1.115.304.055 1.115.171 Order 8.095 1.095.030.864.002.030.053 12 of 16 03/09/10 11:25 AM

Order 9.628 1.628.360.555.019.360.088 Error(omnibus) Linear 79.944 19 4.208 Quadratic 118.404 19 6.232 Cubic 55.254 19 2.908 Order 4 32.393 19 1.705 Order 5 30.183 19 1.589 Order 6 50.864 19 2.677 Order 7 50.226 19 2.643 Order 8 60.292 19 3.173 Order 9 33.100 19 1.742 a. Computed using alpha =.05 Transformed Variable:Average Tests of Between-Subjects Effects Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Noncent. Parameter Observed Power a Intercept 16501.001 1 16501.001 330.366.000.946 330.366 1.000 Error 949.004 19 49.948 a. Computed using alpha =.05 Estimated Marginal Means 1. Grand Mean 95% Confidence Interval Mean Std. Error Lower Bound Upper Bound 9.083.500 8.037 10.129 2. omnibus Estimates 95% Confidence Interval omnibus Mean Std. Error Lower Bound Upper Bound 13 of 16 03/09/10 11:25 AM

1 9.221.687 7.784 10.658 2 8.761.631 7.441 10.082 3 9.657.763 8.059 11.255 4 9.442.548 8.296 10.588 5 9.121.531 8.009 10.233 6 8.701.554 7.541 9.860 7 8.700.570 7.508 9.892 8 8.376.607 7.106 9.647 9 9.081.514 8.006 10.156 10 9.773.737 8.230 11.315 (I) omnibus (J) omnibus Mean Difference (I-J) Pairwise Comparisons Std. Error Sig. a 95% Confidence Interval for Difference a Lower Bound Upper Bound 1 2.460.401 1.000-1.073 1.993 3 -.436.493 1.000-2.322 1.449 4 -.221.435 1.000-1.885 1.443 5.100.494 1.000-1.791 1.991 6.520.640 1.000-1.928 2.969 7.521.659 1.000-2.000 3.042 8.845.683 1.000-1.769 3.458 9.140.502 1.000-1.782 2.062 10 -.552.502 1.000-2.474 1.371 2 1 -.460.401 1.000-1.993 1.073 3 -.896.510.989-2.850 1.057 4 -.681.394.991-2.188.827 5 -.360.407 1.000-1.917 1.198 6.061.564 1.000-2.096 2.217 7.061.626 1.000-2.333 2.456 8.385.646 1.000-2.088 2.858 9 -.320.536 1.000-2.370 1.730 10-1.012.488.910-2.880.856 3 1.436.493 1.000-1.449 2.322 2.896.510.989-1.057 2.850 4.216.521 1.000-1.778 2.209 5.537.405 1.000-1.014 2.088 6.957.590.997-1.299 3.213 7.958.508.970 -.987 2.902 8 1.281.565.802 -.882 3.444 9.576.600 1.000-1.720 2.872 10 -.115.647 1.000-2.593 2.362 4 1.221.435 1.000-1.443 1.885 2.681.394.991 -.827 2.188 3 -.216.521 1.000-2.209 1.778 5.321.442 1.000-1.370 2.012 14 of 16 03/09/10 11:25 AM

6.741.466.998-1.044 2.526 7.742.476.999-1.079 2.562 8 1.065.686.999-1.560 3.690 9.360.531 1.000-1.671 2.392 10 -.331.522 1.000-2.327 1.665 5 1 -.100.494 1.000-1.991 1.791 2.360.407 1.000-1.198 1.917 3 -.537.405 1.000-2.088 1.014 4 -.321.442 1.000-2.012 1.370 6.420.473 1.000-1.390 2.230 7.421.494 1.000-1.469 2.311 8.744.523 1.000-1.257 2.746 9.040.535 1.000-2.009 2.088 10 -.652.585 1.000-2.891 1.587 6 1 -.520.640 1.000-2.969 1.928 2 -.061.564 1.000-2.217 2.096 3 -.957.590.997-3.213 1.299 4 -.741.466.998-2.526 1.044 5 -.420.473 1.000-2.230 1.390 7.001.347 1.000-1.326 1.327 8.324.560 1.000-1.818 2.466 9 -.381.470 1.000-2.181 1.419 10-1.072.661.997-3.599 1.455 7 1 -.521.659 1.000-3.042 2.000 2 -.061.626 1.000-2.456 2.333 3 -.958.508.970-2.902.987 4 -.742.476.999-2.562 1.079 5 -.421.494 1.000-2.311 1.469 6.000.347 1.000-1.327 1.326 8.323.588 1.000-1.926 2.573 9 -.381.549 1.000-2.481 1.718 10-1.073.730 1.000-3.865 1.719 8 1 -.845.683 1.000-3.458 1.769 2 -.385.646 1.000-2.858 2.088 3-1.281.565.802-3.444.882 4-1.065.686.999-3.690 1.560 5 -.744.523 1.000-2.746 1.257 6 -.324.560 1.000-2.466 1.818 7 -.323.588 1.000-2.573 1.926 9 -.705.596 1.000-2.985 1.575 10-1.396.648.870-3.877 1.085 9 1 -.140.502 1.000-2.062 1.782 2.320.536 1.000-1.730 2.370 3 -.576.600 1.000-2.872 1.720 4 -.360.531 1.000-2.392 1.671 5 -.040.535 1.000-2.088 2.009 6.381.470 1.000-1.419 2.181 15 of 16 03/09/10 11:25 AM

7.381.549 1.000-1.718 2.481 8.705.596 1.000-1.575 2.985 10 -.691.577 1.000-2.898 1.515 10 1.552.502 1.000-1.371 2.474 2 1.012.488.910 -.856 2.880 3.115.647 1.000-2.362 2.593 4.331.522 1.000-1.665 2.327 5.652.585 1.000-1.587 2.891 6 1.072.661.997-1.455 3.599 7 1.073.730 1.000-1.719 3.865 8 1.396.648.870-1.085 3.877 9.691.577 1.000-1.515 2.898 Based on estimated marginal means a. Adjustment for multiple comparisons: Sidak. Multivariate Tests Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Power b Pillai's trace.493 1.188 a 9.000 11.000.387.493 10.691.326 Wilks' lambda.507 1.188 a 9.000 11.000.387.493 10.691.326 Hotelling's trace.972 1.188 a 9.000 11.000.387.493 10.691.326 Roy's largest root.972 1.188 a 9.000 11.000.387.493 10.691.326 Each F tests the multivariate effect of omnibus. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means. a. Exact statistic b. Computed using alpha =.05 16 of 16 03/09/10 11:25 AM