Statistics Study

Statistics Study

-- v4.49 June 9, 2024

(103 Statistics Function Buttons / 103 Statistics Study Notes)

The following is the list of functions this app provides:

[Descriptive Statistics]

Basic Statistics

Data Table

Box-and-Whiskers Plot

Line Plot, Stem-and-Leaf Plot, Frequency Table, and Histogram

Scatter Plot

Covariance

[Parametric Tests]

Confidence interval for the mean.

Test for a population mean

Choosing sample size for mean

Test for two population means

Test for the difference of paired sample (paired t-test)

One-way ANOVA with post hoc tests (Scheffe Test and Least Square Difference Test)

Two-way ANOVA without repetition

Two-way ANOVA with repetition

Normality Test (Chi-Square Test, Skewness Test, Kurtosis Test, Jarque-Bera Test, Shapiro-Wilk Test, Kolmogorov-Smirnov Test, and D'Agostino K-Squared Test)

Pearson Correlation

Simple Linear Regression Analysis (Linear, Quadratic, Cubic, Quartic, Square Root, Exponential, Logarithmic, Power, Reciprocal, Rational, Sigmoid)

Multiple Linear Regression Analysis

Analysis of Covariance (ANCOVA)

Bartlett's Test

Chi-Square Test for a Variance

F-Test for Two Population Variances

Bartlett's Test for Equality of Variances

[Multivariate Tests]

MANOVA test

Principal Component Analysis (PCA)

[Frequency Tests]

Chi-Square Goodness-of-Fit Test

G-Test of Goodness of Fit

Chi-Square Test of Independence

G-Test of Independence

Chi-Square Test of Homogeneity

Fisher Exact Test

McNemar Test

Test for One Population Proportion

Choosing sample size for proportion

Test for Two Population Proportions

Test for Poisson Rates

[Nonparametric Tests]

- Monte Carlo Simulation, permutation test are added to some tests.

Runs Test for One Sample (Randomness of a sequence)

Sign Test for One Sample

Wilcoxon Signed-Rank Test (nonparametric one sample)

Runs Test for two samples

Wald-Wolfowitz Runs Test for Two Samples

Mann-Whitney U Test (nonparametric two samples)

Kolmogorov-Smirnov Two-Sample Test

Sign Test for Paired Samples

Wilcoxon Signed-Rank test (paired samples)

Spearman Rank Correlation

Kruskal-Wallis H Test (nonparametric three of more samples)

Mood's Median Test (Chi-Square Median Test)

Jonckheere-Terpastra Test (Jonckheere Trend Test)

Friedman Test and Post Hoc Test after Conover

Quade Test and Post Hoc Test

Skillings-Mack Test

Durbin Test

Page's L Test

Cochran's Q Test

Kendall's Coefficient of Concordance

Siegel-Tukey Test

Levene's Test

Brown-Forsythe Test

Logrank Test (Survival Analysis)

[Statistical Tables]

Z-Table

t-Table

Chi-Square Table

F-Table

[Distributions and Probabilities]

Arcsin

Bates

Bernoulli

Beta

Beta-binomial

Beta-geometric

Beta-negative binomial

Binomial

Borel

Cauchy

Chi-square

Erlang

Exponential

F-distribution

Gamma

Gauss-Kuzmin

Geometric

Hypergeometric

Irwin-Hall

Kumaraswamy

Laplace

Logarithmic

Logistic

Logit-Normal

Lognormal

Maxwell-Boltzmann

Multinomial

Negative binomial

Negative hypergeometric

Normal

Pareto

Poisson

Rayleigh

Student's t

Weibull

Yule-Simon

[Miscellaneous]

Determinant and Inverse Matrix

System of Equations

Eigenvalues and Eigenvectors

The following works can be done also:

1. Copy and Paste

2. Switch rows and columns

3. Random number generator with size, minimum and maximum

4. Random number generator from a normal distribution with size, mean, and standard deviation

5. Settings: Significance Level

provided by STATEXT LLC.

(New Jersey, USA)

Selected version history

ver 2.9.1 Fix a bug handling comma as decimal separator; the bug was kindly reported by Carlos Abeal Pena from Spain.

ver 4.17 Add Page's L Test; suggested by Dr. Maurizio Placidi from Italy

ver 4.21 Add Brown-Forsythe Test; suggested by Wolfgang Kokoska