Statistics calculators

Test statistic calculator

#Test name
1
One Sample Z-TestChecks that the expected mean is correct using the sample average, when the standard deviation is known.
2
One Sample T-TestChecks that the expected mean is correct using the sample average, when the standard deviation is unknown.
3
Two Sample Z-TestCompares the average of two groups, when the standard deviation is known.
4
Two Sample T-Test (Pooled variance)Compares the average of two groups when the unknown standard deviation is the same for both groups.
5
Two Sample T-Test (Welch's)Compares the average of two groups when the unknown standard deviation is different between the groups.
6
Two Sample Mann-Whitney U TestCompares the value of two groups, when you can't assume normality distribution, the test is robust to outliers.
7
Paired T-TestCompares the average of two groups, when you don't know the standard deviation, and expect the standard deviation of both groups to be unequal.
8
Paired Wilcoxon Sign Rank TestDetermines how a change has taken effect by considering each individual pair as an observation. The test uses a ranking methodn
9
One Way ANOVA TestChecks if the difference between the average (mean) of two or more groups (populations) is significant, using sample data. ANOVA is usually used when there are at least three groups, since for two groups you can use t tests.
10Chi-Squared Test For Variance
11F Test For Variances
12
Chi-Square Test For Goodness Of FitChecks if the statistical model fits the observations
13
Shapiro-Wilk TestChecks if the normal distribution model fits the observations
TestAssumptionsRequired sample data
#Test nameCheckStatistic
Normal DistributionThe population's distribution is Normal
IndIndependent observations
σYou know the population's standard deviation
σ12The standard deviations of both groups are equal
dYou know the expected difference between the means
μYou know the expected mean
xSample average
nSample size
sSample standard deviation
datarequired full data sample
1
One Sample Z-TestCheck that the expected mean is correct, based on a sample average, when you know the standard deviation.
MeanZ statistic
2
One Sample T-TestCheck that the expected mean is correct based on the sample average when you don't know the standard deviation
MeanT statistic
3
Two Sample Z-TestCompare the average of two groups, when you know the standard deviation.
MeanZ statistic
4
Two Sample T-Test (Pooled variance)Compare the average of two groups, when you don't know the standard deviation, and expect the standard deviation of both groups to be equal.
MeanT statistic
5
Two Sample T-Test (Welch's)Compare the average of two groups, when you don't know the standard deviation, and expect the standard deviation of both groups to be unequal.
MeanT statistic
6
Two Sample Mann-Whitney U TestCompare the value of two groups, when you can't assume normality distribution, the test is robust to outliers.
ValueU statistic
7
Paired T-TestDetermine how a change has taken effect by considering each individual pair as an observation. The test uses T distribution
MeanT statisticPaired
8
Paired Wilcoxon Sign Rank TestDetermine how a change has taken effect by considering each individual pair as an observation. The test uses a ranking methodn
ValueT statisticPaired
9
One Way ANOVA TestCheck if the difference between the average (mean) of two or more groups (populations) is significant, using sample data. ANOVA is usually used when there are at least three groups, since for two groups you can use t-tests.
MeanF statistic
10Chi-Squared Test For Varianceσchi-squared statistic
11F Test For VariancesσF statistic
12
Chi-Squared Test For Goodness Of FitCheck if the statistical model fits the observations
Fitchi squared statistic
13
Shapiro-Wilk TestCheck if the normal distribution model fits the observations
Fitw statistic
** - yes, - no, empty - irrelevant

Regression calculators

#MeasurementChart
1Simple Linear RegressionRegression F statistic
2Multiple Linear RegressionRegression F statistic
3*Bulk Linear RegressionRegression F statistic
4Binary Logistic Regressionχ2 = 2(LL1-LL0)
5Multinomial Logistic Regressionχ2 = 2(LL1-LL0)
*Bulk linear regression calculator for several dependent variables with the same predictors.

Power and Sample Size calculators

#DistributionChart
1Sample sizeChi squared Distribution
2T test power, Z test powert Distribution

Distribution calculators

#DistributionChart
1P-valuep-value
2Normal DistributionNormal Distribution
3T Distribution (Student's)T Distribution
4Chi-Squared DistributionChi squared Distribution
5F Distribution (Fisher-Snedecor)F Distribution

Measurements calculators

#MeasurementChart
1Mean Median Modemean
2Standard DeviationStandard deviation

Guide

Statistical Tests