STATISTICAL TESTS
Statistical analysis is a procedure that allows you to make quantitative assessments about a process or set of processes. The goal is to see if there is enough information to "reject" a theory or hypothesis about how the process works.
Choosing the Correct Statistical Test in SAS, Stata, SPSS and R. (n.d.). Introduction to SAS. UCLA: Statistical Consulting Group. Retrieved May 30, 2022, from https://stats.oarc.ucla.edu/other/mult-pkg/whatstat/
Use it WHEN
The mean represents the center of data distribution
The Sample size is large
The data is normally distributed
Data that is assumed to have a normal distribution can be analyzed using the following statistical analyses:
t-tests
ANOVA
Regression Analysis
Correlation Coefficient
Bevans, R. (2022, May 6). Statistical tests: which one should you use? Scribbr. https://www.scribbr.com/statistics/statistical-tests/
Nonparametric tests, often known as distribution-free tests, are statistical tests that make no assumptions about the data's distribution. Nonparametric tests are based on ordinal variables or the rank of values in the data.
Use it WHEN
The median represents the center of data distribution
The Sample size is large or small
The data is not normally distributed
Data that is assumed to not have a normal distribution can be analyzed using the following statistical analyses:
1-sample sign test
1-sample Wilcoxon Signed Rank test
Friedman test
Kruskal-Wallis test
Mann-Whitney test
Mood’s Median test
Spearman Rank Correlation
S, S. (2017, September 1). Difference Between Parametric and Nonparametric Test (with Comparison Chart). Key Differences. https://keydifferences.com/difference-between-parametric-and-nonparametric-test.html
Each parametric test has its equivalent non-parametric test that is given in the below image
Inferential statistics. (n.d.). Slidetodoc.Com. https://slidetodoc.com/inferential-statistics-introduction-descriptive-statistics-judgmentsinferences-related-to/