@psych/lib@1.24.0

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Homogeneity reliability (Cronbach's alpha)

ANOVA Post Hoc Test Result (Bonferroni)

Bootstrap sampling

Bootstrap statistic

Bootstrap test (calculate the confidence interval of mean)

Chi-square distribution chi-square value to p value The probability is from chi-square value to the right tail

Centralize the array

Calculate the correlation coefficient of two arrays

Corralation between two variables

Calculate the covariance of two arrays

F distribution f value to p value P value is the probability of f value to the right tail if twoside is false otherwise, it is the number above times 2

Half reliability

Calculate the kurtosis of numbers

Calculate the sample kurtosis and its z value and significance

Levene's test for homogeneity of variances

One-variable linear regression

Linear regression (sequential / hierarchical)

Linear regression (standard regression / OLS / simultaneous entry)

Linear regression (stepwise selection)

Matrix class

Calculate the maximum value of numbers

Calculate the mean of numbers

Calculate the median of numbers if the length of numbers is even, return the average of the two middle numbers

Calculate the minimum value of numbers

Calculate the mode of numbers If there are multiple modes, return 3 * median - 2 * mean

One-sample Kolmogorov-Smirnov test for Normal distribution For small sample size, the p-value may not be accurate, please refer to rejected and decide for decision making

One sample Student's t-test

One-way ANOVA

Chi-square distribution p value to chi-square value The probability is from chi-square value to the right tail

F distribution p value to f value P value is the probability of f value to the right tail if twoside is false otherwise, it is the number above times 2

Student's t-distribution p value to t value P value means the probability of the |t| to the right tail if twoside is false otherwise, P value means the probability of the -|t| to the left tail and |t| to the right tail

Convert p value to z value (the z value from the left tail to p)

Pearson correlation test Note: if you just want to calculate the correlation coefficient, use corr function directly

Repeated measures ANOVA

Peer sample Student's t-test

Calculate the quantile of numbers (interpolation method)

Generate a random number from chi-square distribution

Generate a random number from a f distribution

Generate a random number from a normal distribution

Generate a random number from a t distribution

Calculate the range of numbers

ANOVA Post Hoc Test Result (Scheffe)

Calculate the standard error of the mean (SEM) of numbers

Simple mediation analysis

Calculate the skewness of numbers

Calculate the sample skewness and its z value and significance

Sort numbers in ascending or descending order

Available sort algorithms

Calculate the sum of the product of two centered arrays (SP)

Calculate the sum of squares (SS) of numbers

Calculate the sum of squares of the array difference

Standardize the array

Calculate the standard deviation of numbers

Calculate the sum of two numbers

Student's t-distribution t value to p value P value is the probability of the |t| to the right tail if twoside is false otherwise, P value is the probability of the -|t| to the left tail and |t| to the right tail

ANOVA Post Hoc Test Result (Tukey's HSD)

Two sample Student's t-test

Calculate the variance of numbers

Welch's t-test

Convert z value to p value (the probability from the left tail to z)