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Summary Statistical tests explained step by step

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This will be your life saver for your statistics take-home-assignment and exam!! I made this step-to-step summary by merging all information from the lectures, chapters and practice units into one summary. In the end I got an 8.3 for the exam. Little tip: I have made a bundle of 3 documents that will help you through the exam. You can use the 'summary of statistics for the pre-master' document to learn the basics. Thereafter, you can use the 'which statistical test do you need?' document to find the right test, and the 'statistical tests explained step by step' document to perform the test. Good luck!

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Voorbeeld van de inhoud

Table of contents

General ........................................................................................................................................................... 5

SPSS file .......................................................................................................................................................... 5

How is it measured? ....................................................................................................................................... 5

Abbreviations and definitions ......................................................................................................................... 7

Steps of data analysis ..................................................................................................................................... 9

Hypotheses ..................................................................................................................................................... 9

Measurement levels ....................................................................................................................................... 9

Reliability analysis ........................................................................................................................................ 10

Modify your data .......................................................................................................................................... 10
Recoding ............................................................................................................................................................ 10
Missing data ...................................................................................................................................................... 10
Computing variables ......................................................................................................................................... 11
Reducing bias .................................................................................................................................................... 11
Other ................................................................................................................................................................. 11

Descriptive statistics ..................................................................................................................................... 11
Frequencies ....................................................................................................................................................... 11
Descriptives ....................................................................................................................................................... 12
Crosstabs ........................................................................................................................................................... 12

Test assumptions .......................................................................................................................................... 12
Assumption 1: Normality ................................................................................................................................... 12
Assumption 2: Homogeneity of variance .......................................................................................................... 13

Tests ............................................................................................................................................................. 13
Independent samples t-test ............................................................................................................................... 13
Paired samples t-test (Dependent samples t-test) ............................................................................................ 13
One-sample t-test.............................................................................................................................................. 14
One-way ANOVA ............................................................................................................................................... 14
Factorial ANOVA ............................................................................................................................................... 14
Chi-square test of association (x2 test) .............................................................................................................. 14
Correlation coefficient ....................................................................................................................................... 14
Simple linear regression .................................................................................................................................... 14

Reporting...................................................................................................................................................... 15

,Visualisation ................................................................................................................................................. 15
Histogram and PP/QQ plots .............................................................................................................................. 16
Boxplots ............................................................................................................................................................. 16
Bar charts .......................................................................................................................................................... 16
Scatterplot ......................................................................................................................................................... 17
Line chart........................................................................................................................................................... 17

How to calculate an independent-samples t-test .......................................................................................... 19
Phase 1 - Prepare .............................................................................................................................................. 19
Phase 2 – Calculate ........................................................................................................................................... 19
Phase 3 – Conclude............................................................................................................................................ 19
Phase 4 – Report ............................................................................................................................................... 20

How to calculate a dependent-samples t-test (paired samples test) .............................................................. 21
Phase 1 - Prepare .............................................................................................................................................. 21
Phase 2 – Calculate ........................................................................................................................................... 21
Phase 3 – Conclude............................................................................................................................................ 21
Phase 4 – Report ............................................................................................................................................... 22

How to calculate a one sample t-test ............................................................................................................ 23
Phase 1 - Prepare .............................................................................................................................................. 23
Phase 2 – Calculate ........................................................................................................................................... 23
Phase 3 – Conclude............................................................................................................................................ 23
Phase 4 – Report ............................................................................................................................................... 23

How to calculate a one-way ANOVA ............................................................................................................. 25
Phase 1 - Prepare .............................................................................................................................................. 25
Phase 2 – Calculate ........................................................................................................................................... 25
Phase 3 – Report ............................................................................................................................................... 26

How to calculate a factorial ANOVA .............................................................................................................. 29
Phase 1 – Prepare.............................................................................................................................................. 29
Phase 2 – Calculate ........................................................................................................................................... 29
Phase 3 – Report ............................................................................................................................................... 30

How to calculate a chi-square test of association (x2) .................................................................................... 33
Phase 1 – Prepare.............................................................................................................................................. 33
Phase 2 – Calculate manually............................................................................................................................ 33
Phase 2 – Calculate by SPSS .............................................................................................................................. 33
Phase 3 – Report ............................................................................................................................................... 34

How to calculate a correlation analysis ......................................................................................................... 35
Phase 1: Prepare ............................................................................................................................................... 35

, Phase 2: Calculate correlation coefficients........................................................................................................ 35
Phase 2: Calculate partial correlation ............................................................................................................... 36
Phase 3: Report ................................................................................................................................................. 36

How to calculate a simple linear regression (regression analysis) .................................................................. 39
Phase 1: Prepare ............................................................................................................................................... 39
Phase 2: Calculate by hand ............................................................................................................................... 39
Phase 2: Calculate by SPSS ................................................................................................................................ 40
Phase 3: Report ................................................................................................................................................. 41

,

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Chapter 1,2,4,5,6,8,9,10 and 12
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