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The Statistics Repository

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.

Advanced Topics

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

Mark Horswill PSYC7112 lecture

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 -Power analysis -Meta-analysis primers
Filename: PSYC7112 Postgrad psychometrics lecture sem1 2009 handout only.pdf [4.9Mb]
More complex ANOVA designs

Higher-order Interactions

Winnifred Louis' notes for interpreting higher-order interactions in ANOVA.
Address: http://www2.psy.uq.edu.au/~wlouis/stats/HOIAv4.doc
CFA files

Confirmatory Factor Analysis & Structural Equation Modelling Part 1 - Aarti Iyer & Natalie Loxton

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]

Confirmatory Factor Analysis & Structural Equation Modelling Part 2 using AMOS - Aarti Iyer & Natalie Loxton

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]

Confirmatory Factor Analysis - example write up - Aarti Iyer and Natalie Loxton

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

Mediation analyses using bootstrapping

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
Address: https://njloxton.clarify-it.com/d/c6ajnv

Moderated Mediation Using PROCESS

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
Address: https://njloxton.clarify-it.com/d/fav736

Using bootstrapping to test for multiple mediators

Natalie Loxton's notes on testing for multiple mediators using bootstrapping. [Source: http://www2.psy.uq.edu.au/~wlouis/]
Address: http://www2.psy.uq.edu.au/~wlouis/stats/nloxton_multiplemediation.pdf
Notes on how to conduct a meta-analysis

Excel macro

Winnifred Louis' Excel macro for meta-analyses. [Source: http://www2.psy.uq.edu.au/~wlouis/]
Address: http://www2.psy.uq.edu.au/~wlouis/stats/metaanalysis.xls
PSYC4050 files

Jason Tangen PSYC4050 Lecture01.pdf

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]

Jason Tangen PSYC4050 Lecture02.pdf

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]

Jason Tangen PSYC4050 Lecture03.pdf

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]

Jason Tangen PSYC4050 Lecture04

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]

Jason Tangen PSYC4050 Lecture05

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]

Jason Tangen PSYC4050 Lecture06

Moderating versus mediating effects. Discriminant analysis. Eigenvalues. Canonical correlations.
Filename: Jason Tangen PSYC4050 Lecture06.pdf [5.1Mb]

Jason Tangen PSYC4050 Lecture07.pdf

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]

Jason Tangen PSYC4050 Lecture08

Discriminant Analysis
Filename: Jason Tangen PSYC4050 Lecture08.pdf [1.6Mb]

Jason Tangen PSYC4050 Lecture09

Principal Components analysis and Signal Detection Theory
Filename: Jason Tangen PSYC4050 Lecture09.pdf [9.9Mb]

Jason Tangen PSYC4050 Lecture10

Factor Analysis via PCA
Filename: Jason Tangen PSYC4050 Lecture10.pdf [3.4Mb]

Jason Tangen PSYC4050 Lecture11

Common Factor Analysis and Factor Analysis via PCA
Filename: Jason Tangen PSYC4050 Lecture11.pdf [3.5Mb]

Jason Tangen PSYC4050 Lecture12

Common Factor Analysis and Structural Equation Modelling
Filename: Jason Tangen PSYC4050 Lecture12.pdf [1.4Mb]
Mark Horswill's notes on the reliable change index.

Mark Horswill 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]

Using AMOS to do SEM

Winnifred Louis' notes on structural equation modelling using AMOS. [Source: http://www2.psy.uq.edu.au/~wlouis/]
Address: http://www2.psy.uq.edu.au/~wlouis/stats/SEM.doc

A Gentle Introduction to R – Gary Chan Workshop 2016

Workshop 1 - About R, Installing R and Using R.
Filename: Workshop 1 files.zip [2.8Mb]

An introduction to multilevel modelling using R – Gary Chan Workshop 2 2016

Workshop 2.
Filename: Workshop 2 files.zip [4.1Mb]

Intermediate Topics

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.

Basic ANOVA Work Notes

Winnifred Louis' ANOVA work notes, including one-way and two-way designs.
Address: http://www2.psy.uq.edu.au/~wlouis/stats/ANOVAv3.doc

Winnifred Louis PSYC3010 Lecture1

Factorial Designs
Filename: 3010l1.pdf [3.5Mb]

Winnifred Louis PSYC3010 Lecture10

Mediation in Multiple Regression and Within Subjects ANOVA
Filename: 3010l10.pdf [5.4Mb]

Winnifred Louis PSYC3010 Lecture11

Mixed/Split-plot ANOVA
Filename: 3010l11.pdf [2.8Mb]

Winnifred Louis PSYC3010 Lecture2

Factorial ANOVA
Filename: 3010l2.pdf [4.5Mb]

Winnifred Louis PSYC3010 Lecture3

Effect Sizes and Factorial ANOVA
Filename: 3010l3.pdf [4.2Mb]

Winnifred Louis PSYC3010 Lecture4

Factorial ANOVA and Higher Order Factorial Designs (Complex ANOVA)
Filename: 3010l4.pdf [5.1Mb]

Winnifred Louis PSYC3010 Lecture5

Higher Order Factorial Designs (Complex ANOVA) and Power
Filename: 3010l5.pdf [5.2Mb]

Winnifred Louis PSYC3010 Lecture6

ANCOVA and Blocking
Filename: 3010l6.pdf [201.2kb]
Includes multiple regression, hierarchical regression, mediated regression, moderated regression, and logistic regression.

Standard Multiple Regression Work Notes

Winnifred Louis' notes on standard multiple regression.
Address: http://www2.psy.uq.edu.au/~wlouis/stats/smrv2.doc

Winnifred Louis PSYC3010 Lecture12

Logistic Regression
Filename: 3010_l12.pdf [5.7Mb]

Winnifred Louis PSYC3010 Lecture7

Correlation and Regression
Filename: 3010l7.pdf [4Mb]

Winnifred Louis PSYC3010 Lecture8

Hierarchical Regression and Standard Multiple Regression
Filename: 3010l8.pdf [4.1Mb]
Data screening

Natalie Loxton - Data Screening In SPSS

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

Excel spreadsheet to test for mediation

Winnifred Louis' Excel spreadsheet to test for mediation in regression.
Address: http://www2.psy.uq.edu.au/~wlouis/stats/WIMP.XLS

Testing for single mediator using bootstrapping

Natalie Loxton's notes for testing for a single mediator using bootstrapping. [Source: http://www2.psy.uq.edu.au/~wlouis/]
Address: http://www2.psy.uq.edu.au/~wlouis/stats/nloxton_mediationbootstrapping.pdf
Using regression to test for moderation

Excel spreadsheet to graph simple slopes

Winnifred Louis' spreadsheet for testing for graphing simple slopes in moderated regression.
Address: http://www2.psy.uq.edu.au/~wlouis/stats/WIP.xls

Moderated Regression Work Notes

Winnifred Louis' notes for using moderated regression.
Address: http://www2.psy.uq.edu.au/~wlouis/stats/moderationv6.doc

Winnifred Louis PSYC3010 Lecture9

Moderated Multiple Regression
Filename: 3010l9.pdf [5Mb]

Introductory Topics

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.

Conceptual Overview and Intro to Gpower3

Winnifred Louis' Conceptual Overview and Intro to Gpower3. Some general rules for postgrads.
Address: http://www2.psy.uq.edu.au/~wlouis/stats/wl_power0709.ppt

Writing Up Power Analyses

Winnifred Louis' notes on how to write up a power analysis. Useful for both undergraduates and postgrads.
Address: http://www2.psy.uq.edu.au/~wlouis/stats/wl_power0709.doc
Revision of topics including central tendency, standard deviation, and frequency distributions.

Central Tendency

"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.
Address: https://www.psy.uq.edu.au/activity/tutorial.html?tid=13

Frequency Distribution

"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.
Address: https://www.psy.uq.edu.au/activity/tutorial.html?tid=14

Standard Deviation

"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.
Address: https://www.psy.uq.edu.au/activity/tutorial.html?tid=15
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