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Which statistical test should I use? (Variable Scale (Ordinal: rank order…
Which statistical test should I use?
One Sample: Interval-ratio level, one population (i.e. high school graduates, teachers in Omaha, etc.
Population Variance Known testing the difference in means.
Yes: Use a Z statistic and the normal distribution
No: Use a T-statistic and the T distribution
Two Samples: Sampling Distribution and the difference in means, different populations (i.e. high school graduates and college graduates, Teachers in Omaha and Teachers in Lincoln
Independent T-Test: used to test the means of two independent samples
ANOVA: testing the significance of relationships between two variables in two or more samples. Examines difference between samples and within a single sample.
Number of variables
One dependent and one independent variable
One way ANOVA
Dependent variable measure ad the interval-ratio value
One dependent and two independent variables
Two way ANOVA
Significance of relationship
Regression
Correlation: determines the extent variables are connected. Are the negatively correlated or positively correlated?
Variable Scale
Ordinal: rank order measure (i.e. 1- dislike 2- strongly dislike, 3- like, 4- strongly like)
Interval-Ratio- something that increases or decreases in units (i.e. income level, age, GPA)
Nominal: numbers are applied to identify variables (i.e. 1 for male 2 for female)