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How to choose a statistical test? - Coggle Diagram
How to choose a statistical test?
Quantitative Data
Comparing means between groups or a group and a specific value
Independent samples (all involved samples)
Two Samples
How big is the sample?
Sample size 50 - 300
Normality test for
each
sample
Really strong normality test
Shapiro-Wilk test
1 more item...
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size < 50
Normality test for
each
sample
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Really strong normality test
Shapiro-Wilk test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size > 300
Normality test for
each
sample
Really strong normality test
Shapiro-Wilk test (Up to 2000)
1 more item...
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Three or more Samples
How big is the sample?
Sample size < 50
Normality test for
each
sample
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Really strong normality test
Shapiro-Wilk test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size 50 - 300
Normality test for
each
sample
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Really strong normality test
Shapiro-Wilk test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Sample size > 300
Normality test for
each
sample
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Really strong normality test
Shapiro-Wilk test (Up to 2000)
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Dependent samples (all involved samples)
One Sample
How big is the sample?
Sample size 50 - 300
Normality test
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Really strong normality test
Shapiro-Wilk test
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size > 300
Normality test
Really strong normality test
Shapiro-Wilk test (Up to 2000)
1 more item...
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size < 50
Normality test
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Really strong normality test
Shapiro-Wilk test
1 more item...
Two Samples
How big is the sample?
Sample size 50 - 300
Normality test for
each
sample
Really strong normality test
Shapiro-Wilk test
1 more item...
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size < 50
Normality test for
each
sample
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Really strong normality test
Shapiro-Wilk test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size > 300
Normality test for
each
sample
Really strong normality test
Shapiro-Wilk test (Up to 2000)
1 more item...
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Three or more samples
How big is the sample?
Sample size 50 - 300
Normality test for
each
sample
Really strong normality test
Shapiro-Wilk test
1 more item...
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size < 50
Normality test for
each
sample
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Really strong normality test
Shapiro-Wilk test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Sample size > 300
Normality test for
each
sample
Really strong normality test
Shapiro-Wilk test (Up to 2000)
1 more item...
Evaluate the behavior in the tails of the distribution
Anderson-Darling test
1 more item...
Assess skewness and kurtosis
D'Agostino K^2 test
1 more item...
Not as strong as "Shapiro-Wilk test"
Kolmogorov-Smirnov test with Lilliefors correction
1 more item...
Categorical Data
Independent samples
Dependent samples
Graphical methods:
Histogram
box plot
Q-Q plot