About The Statistics Repository
This is a repository of basic and advanced statistical materials to give you a starting point when you need to use a particular technique. You want to do a meta-analysis but don't know where to start? Start here!
Topics are organised by approximate level of difficulty.
- If you are studying at the undergraduate level, most of the relevant material can be found either in the Introductory Topics or Intermediate Topics tabs.
- For fourth year students and above, you should review the introductory and intermediate topics to make sure you have a good understanding of the relevant techniques before progressing to the advanced topics.
- A particular analytic method may be covered at all three levels, but more difficult or advanced aspect will obviously be dealt with only under the Advanced Topics tab.
This repository was originally set up by Mark Horswill and is contributed to by the statistics and methodology lecturers in the School of Psychology at the University of Queensland (including Winnifred Louis, Natalie Loxton, Jason Tangen, and Mark Horswill). It is currently maintained by Aarti Iyer and Blake McKimmie. This repository will grow with time until it becomes a sprawling knowledge feast of statistical mayhem.
Resources for Advanced Statistics. The following links will download notes for the various statistical techniques. Files are provided in a single format (either PDF, Word, or Excel).
Test standardisation and the normal distribution -Reliability & validity -Individual score interpretation: SEM, SEdiff -Evaluating diagnostic tests: 2x2 tables, likelihood ratios, ROC curves -Signal detection theory -Power analysis -Meta-analysis primers
This file contains Powerpoint slides which cover the following topics:
-Test standardisation and the normal distribution
-Reliability & validity
-Individual score interpretation: SEM, SEdiff
-Evaluating diagnostic tests: 2x2 tables, likelihood ratios, ROC curves
-Signal detection theory
Filename: PSYC7112 Postgrad psychometrics lecture sem1 2009 handout only.pdf [4.9Mb]
More complex ANOVA designs
Winnifred Louis' notes for interpreting higher-order interactions in ANOVA.
An introduction to Confirmatory Factor Analysis & Structural Equation Modelling given as workshop to School of Psychology postgraduates at the University of Queensland
Filename: Aarti Iyer & Natalie Loxton - Confirmatory Factor Analysis & Structural Equation Modelling.pdf [106.9kb]
Part Two of Aarti and Natalie's introduction to Confirmatory Factor Analysis & Structural Equation Modelling in which they explain how to use the software package AMOS. Given as workshop to School of Psychology postgraduates at the University of Queensland
Filename: Aarti Iyer & Natalie Loxton CFA & SEM Part 2 - AMOS.pdf [200.8kb]
Sample results section for a confirmatory factor analysis. Accompanies Aarti and Natalie's CFA workshop.
Filename: ai and nl sem workshop Example CFA write-up.pdf [45.2kb]
Testing for mediation using regression
This is a tipsheet on the underlying principles of testing mediated effects using SPSS macros to test the significance of indirect effects. Note that the macro used (SOBEL) has been superseded by the INDIRECT and PROCESS macros
This tip sheet shows a step-by-step approach to using the Andrew Hayes PROCESS macro to test moderated mediation. This macro can also be used to test a host of indirect effects
Natalie Loxton's notes on testing for multiple mediators using bootstrapping.
Notes on how to conduct a meta-analysis
Winnifred Louis' Excel macro for meta-analyses.
Introduction to Multivariate Analysis, including matrices and the different types of multivariate analysis. Given as a fouth year course at the School of Psychology, University of Queensland.
Filename: Jason Tangen PSYC4050 Lecture01.pdf [3.8Mb]
Introduction to multivariate statistics: linear composites in discriminant analysis, multiple regression, and factor analysis. Overview of multiple regression, including the importance of residuals and partitioning the variance. Given as a fourth year lecture at the School of Psychology, University of Queensland.
Filename: Jason Tangen PSYC4050 Lecture02.pdf [5.6Mb]
Multiple regression continued. R squared (overall relationships between predictors and criterion), the relationship between individual predictors and the criterion (correlations, standardised regression weights, semi-partial correlations, partial correlations, relative weights). Regression strategies (standard or simultaneous regression, sequential or hierarchical regression, stepwise regression, setwise regression, ridge regression).
Filename: Jason Tangen PSYC4050 Lecture03.pdf [4.4Mb]
Multiple regression continued. Measures of the importance of individual predictors revisited. Assumptions/limitations of multiple regression. Interpreting SPSS output for Multiple Regression. Calculating 95% Confidence Intervals for beta weights. The prediction equation. Regression diagnostics (general strategies, data checking, importance of residuals, independence, linearity, normality, outliers, homoscedasticity, multicollinearity, singularity). Factors affecting the correlation coefficient.
Filename: Jason Tangen PSYC4050 Lecture04.pdf [5.8Mb]
Multiple Regression continued. Sequential (hierarchical) regression with SPSS commands. ANOVA via Multiple Regression. Moderated Multiple Regression. Mediated vs moderated? Interactions in ANOVA & Multiple Regression.
Filename: Jason Tangen PSYC4050 Lecture05.pdf [2.4Mb]
Moderating versus mediating effects. Discriminant analysis. Eigenvalues. Canonical correlations.
Filename: Jason Tangen PSYC4050 Lecture06.pdf [5.1Mb]
Discriminant Analysis continued. Assumptions. SPSS commands. Interpreting discriminant analysis. Relative importance of variables - various measures. Group separation. Comparing multiple regression and discrimination analysis.
Filename: Jason Tangen PSYC4050 Lecture07.pdf [2.6Mb]
Filename: Jason Tangen PSYC4050 Lecture08.pdf [1.6Mb]
Principal Components analysis and Signal Detection Theory
Filename: Jason Tangen PSYC4050 Lecture09.pdf [9.9Mb]
Factor Analysis via PCA
Filename: Jason Tangen PSYC4050 Lecture10.pdf [3.4Mb]
Common Factor Analysis and Factor Analysis via PCA
Filename: Jason Tangen PSYC4050 Lecture11.pdf [3.5Mb]
Common Factor Analysis and Structural Equation Modelling
Filename: Jason Tangen PSYC4050 Lecture12.pdf [1.4Mb]
Mark Horswill's notes on the reliable change index.
Everything you wanted to know about the reliable change index...
Filename: The Reliable Change Index - 1 slide per page.pdf [530.1kb]
Winnifred Louis' notes on structural equation modelling using AMOS.
Workshop 1 - About R, Installing R and Using R.
Filename: Workshop 1 files.zip [2.8Mb]
Filename: Workshop 2 files.zip [4.1Mb]
Resources for Intermediate Statistics. The following links will download notes for the various statistical techniques. Files are provided in a single format (either PDF, Word, or Excel).
Includes a variety of ANOVA designs and ANCOVA.
Winnifred Louis' ANOVA work notes, including one-way and two-way designs.
Filename: 3010l1.pdf [3.5Mb]
Mediation in Multiple Regression and Within Subjects ANOVA
Filename: 3010l10.pdf [5.4Mb]
Filename: 3010l11.pdf [2.8Mb]
Filename: 3010l2.pdf [4.5Mb]
Effect Sizes and Factorial ANOVA
Filename: 3010l3.pdf [4.2Mb]
Factorial ANOVA and Higher Order Factorial Designs (Complex ANOVA)
Filename: 3010l4.pdf [5.1Mb]
Higher Order Factorial Designs (Complex ANOVA) and Power
Filename: 3010l5.pdf [5.2Mb]
ANCOVA and Blocking
Filename: 3010l6.pdf [201.2kb]
Includes multiple regression, hierarchical regression, mediated regression, moderated regression, and logistic regression.
Winnifred Louis' notes on standard multiple regression.
Filename: 3010_l12.pdf [5.7Mb]
Correlation and Regression
Filename: 3010l7.pdf [4Mb]
Hierarchical Regression and Standard Multiple Regression
Filename: 3010l8.pdf [4.1Mb]
Powerpoint slides of basic data screening techniques, including GLM assumptions, missing value analysis, finding and dealing with outliers, transforming data, and multivariate screening.
Filename: Natalie+Loxton+Data+Screening.pdf [664kb]
Using regression to test for mediation
Winnifred Louis' Excel spreadsheet to test for mediation in regression.
Natalie Loxton's notes for testing for a single mediator using bootstrapping.
Using regression to test for moderation
Winnifred Louis' spreadsheet for testing for graphing simple slopes in moderated regression.
Winnifred Louis' notes for using moderated regression.
Moderated Multiple Regression
Filename: 3010l9.pdf [5Mb]
A range of introductory statistics topics. The following links will download notes for the various statistical techniques. Files are provided in a single format (either PDF, Word, or Excel).
How to do and write up a power analysis. Useful for undergraduates and postgraduates.
Winnifred Louis' Conceptual Overview and Intro to Gpower3. Some general rules for postgrads.
Winnifred Louis' notes on how to write up a power analysis. Useful for both undergraduates and postgrads.
Revision of topics including central tendency, standard deviation, and frequency distributions.
"Central tendency" extends the frequency distribution webcast to discuss three measures of central tendency (again using the example from the Field text): the mean, median and mode.
"Frequency distribution" is a short webcast proving students with a review of frequency distributions using the examples provided in the PSYC2010 set text (Field) focussing on the normal distribution, bimodal distributions and skewed distributions.
"Standard Deviation" is continues the series by demonstrating how to calculate the standard deviation as well as the conceptual underpinnings of this frequently used measure of dispersion.