Calculators

Estimates the minimum sample size required to achieve a desired level of confidence and margin of error for a study.

Calculates the standard error, which measures the accuracy with which a sample represents a population. It's commonly used for the standard error of the mean (SEM) and the standard error of the proportion.

Calculates the range (+/-) around a sample statistic (like mean or proportion) that likely contains the true population parameter.

Calculates the Chi-Square statistic and p-value for goodness-of-fit or test of independence. It requires observed and expected frequencies or values.

This calculator determines the F-statistic, a value used in ANOVA (Analysis of Variance) to compare the variances of two or more samples. It helps determine if the variances are significantly different.

Performs an F-test to compare the variances of two populations.

Performs a Z-test to compare a sample mean to a known population mean or to compare two sample means when population variances are known.

Performs a t-test (one-sample, two-sample, or paired) to compare means and determine statistical significance.

Calculates the t-statistic, used in hypothesis testing when the population standard deviation is unknown. This calculator helps determine if the difference between a sample mean and a population mean is statistically significant.

Calculates how many standard deviations a data point is from the mean of its distribution.