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Statistics (Mathematical)

research books and journal articles in mathematical statistics including astrostatistics, biostatistics, and other statistical sciences

Choosing Statistical Tests

Types of statistical tests
Test Description Variables
Single-sample t test  Compare the mean of your sample to a known mean Dependent variable (the variable you are testing): ratio or interval
Paired-samples t test Compares means of two scores from related samples 

Independent variable: one group 

Dependent variable: the same scale for both times measured, interval or ratio 

Independent-samples t test Compares the means of two groups for a single dependent variable 

Independent variable (the groups): two levels 

Dependent variable (the variable you are testing): ratio or interval

One-way ANOVA Compares the means of groups that vary for a single independent variable

Independent variable: can have many groups; must be independent

Dependent variable: interval or ratio

Factorial ANOVA Compares the means for multiple independent variables with multiple levels 

Independent variable: can have many groups with different levels, should be independent 

Dependent variable: interval or ratio

Repeated-Measures ANOVA Compares means for related groups for more than one level of an independent variable  Dependent variable: measures should be from same or similar group, interval or ratio

 

Learning about Statistics