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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of numerical data . 

The two main statistical methodologies used in data analysis are descriptive statistics, which summarizes data from a sample using indexes such as the mean or standard deviation, and inferential statistics, which draws conclusions from data that are subject to random variation (e.g., observational errors, sampling variation).

"Applied statistics" comprises descriptive statistics and the application of inferential statistics. Theoretical statistics concerns both the logical arguments underlying justification of approaches to statistical inference, as well encompassing mathematical statistics. Mathematical statistics includes not only the manipulation of probability distributions necessary for deriving results related to methods of estimation and inference, but also various aspects of computational statistics and the design of experiments.

vCalc's Statistics library concerns equations that deal with the analysis , organization and interpretation of data.

Parent Categories:

Subcategories

Statistics Calculators

Statistics Collections

Statistics Equations

  • average (mean) by vCalc
  • Binomial Coefficient by vCalc
  • Chebyshev's Inequality(1) by vCalc
  • Chebyshev's Inequality(2) by vCalc
  • Circular r-Permutation of n Elements by vCalc
  • Coefficient of variation by vCalc
  • Conditional Probability of B given A by vCalc
  • Count by vCalc
  • Expected Value(Geometric) by vCalc
  • Expected Value(Pascal Distribution) by vCalc
  • Five Ear Sample Average by vCalc
  • Frequency Distribution by vCalc
  • Gamma Function by vCalc
  • least-squares trend line by vCalc
  • Maximum by vCalc
  • Mean by vCalc
  • Median by vCalc
  • Mid Point by vCalc
  • Minimum by vCalc
  • Observational Statistics by vCalc
  • P(event) = F / T by vCalc
  • P(n,S) - Bionomial Probability by vCalc
  • P(y) from z by vCalc
  • P(y) right of z by vCalc
  • Paired Samples t-test by vCalc
  • Percent Relative Standard Deviation by vCalc
  • Percentile by vCalc
  • Probability between raw scores by vCalc
  • Probability between z SCORES by vCalc
  • Random Sample (k items) by vCalc
  • Range by vCalc
  • Relative Standard deviation (RSD) by vCalc
  • Simple Stats by vCalc
  • Square of Sum by vCalc
  • Standard Deviation by vCalc
  • Standard deviation of mean by vCalc
  • Standard Error of the Mean (SEM) by vCalc
  • Statistical Mode by vCalc
  • Sum by vCalc
  • Sum of Squares by vCalc
  • t-test critical value lookup by vCalc
  • Variance by vCalc
  • Weighted Average by vCalc
  • y = a + bx by vCalc
  • y from P(y) Mean and SD by vCalc
  • z from P(y) by vCalc
  • z SCORE by vCalc
  • z SCORE formula by vCalc
  • Arithmetic Mean by MichaelBartmess
  • Arithmetic Mean (average) by MichaelBartmess
  • Arithmetic Mode by MichaelBartmess
  • Average number of kernels on five ears by KurtHeckman
  • Batting Average by EmilyB
  • Batting Average Against by EmilyB
  • Bayes' Theorem for Disease Testing by Caroline4
  • Bayes' Theorem for Event Probability by Caroline4
  • Big Decimal Round by MichaelBartmess
  • Chebyshev's Inequality(1) by JustinLiller
  • Chebyshev's Inequality(2) by JustinLiller
  • Chi-Square (Stats) by MichaelBartmess
  • Chi-square goodness-of-fit test (C=3) by Caroline4
  • Chi-squared test for association by Caroline4
  • Choosing a Non-Parametric Test by Caroline4
  • Choosing a Parametric Test by Caroline4
  • Choosing a Relationship Test by Caroline4
  • Coin Flip by MichaelBartmess
  • Competition Analysis by MichaelBartmess
  • Defense-Independent Component ERA by EmilyB
  • Descriptive Statistics (n=10) by Caroline4
  • Descriptive Statistics (n=11) by Caroline4
  • Descriptive Statistics (n=12) by Caroline4
  • Descriptive Statistics (n=6) by Caroline4
  • Descriptive Statistics (n=7) by Caroline4
  • Descriptive Statistics (n=8) by Caroline4
  • Descriptive Statistics (n=9) by Caroline4
  • Displaced Gaussian by MichaelBartmess
  • Earned Run Average by EmilyB
  • Effect Size (r-squared) by Caroline4
  • Efficiency by EmilyB
  • Equivalent Average by EmilyB
  • Expected Value(Bernoulli) by JustinLiller
  • Expected Value(Binomial) by JustinLiller
  • Expected Value(Discrete Uniform) by JustinLiller
  • Expected Value(Geometric) by JustinLiller
  • Expected Value(Hypergeometric) by JustinLiller
  • Expected Value(Pascal) by JustinLiller
  • Fielding Independent Pitching by EmilyB
  • Fielding Percentage by EmilyB
  • Free Throw Statistics by Njerihinga28
  • Frequency Distribution by MichaelBartmess
  • Frequency Distribution (10 bin) by MichaelBartmess
  • Gaussian by MichaelBartmess
  • Gaussian Distribution by MichaelBartmess
  • Gaussian Distribution - Displaced by MichaelBartmess
  • Grades Card Frequency Distribution by MichaelBartmess
  • Happiness Probability by MichaelBartmess
  • Law of Total Probability P(A+B) by MichaelBartmess
  • Least Squares (n=3) by KurtHeckman
  • Least Squares (n=4) by KurtHeckman
  • Life expectancy [country] by MichaelBartmess
  • LittelWood's Law by MichaelBartmess
  • Lognormal by MichaelBartmess
  • Lognormal Distribution by MichaelBartmess
  • Mann-Whitney U test by Caroline4
  • Matthews Correlation Coefficient by EmilyB
  • Max by MichaelBartmess
  • Median by MichaelBartmess
  • Min by MichaelBartmess
  • Multiple Values from Gaussian Distribution by MichaelBartmess
  • Multiple Values from Gaussian Distribution (as string) by MichaelBartmess
  • Numeric Sort by KurtHeckman
  • On-base Percentage by EmilyB
  • On-base Plus Slugging by EmilyB
  • One-way Analysis of Variance (ANOVA) - 3 Groups by Caroline4
  • Paired Samples t-test (n=6) by Caroline4
  • Pearson correlation (n=6) by Caroline4
  • Performance Index Rating by EmilyB
  • Probability of A and B by MichaelBartmess
  • Probability of A or B by MichaelBartmess
  • Probability of Non-independent Events (A, B) by MichaelBartmess
  • Pythagorean Expectation by EmilyB
  • Random 0 OR 1 by MichaelBartmess
  • Random Integer [0 , Upper] by MichaelBartmess
  • Random Integer [Lower , Upper] by MichaelBartmess
  • Random Real [0dot0, 1dot0] by MichaelBartmess
  • Random Real [0dot0, Upper] by MichaelBartmess
  • Random Real [Lower, Upper] by MichaelBartmess
  • Range by MichaelBartmess
  • Range Factor by EmilyB
  • Rank Order Centroid by MichaelBartmess
  • Regression Line (n=6) by Caroline4
  • regression test -- data set access (Weighted Geometric Mean) by MichaelBartmess
  • Relative Standard Deviation by MichaelBartmess
  • Repeated-measures Analysis of Variance (ANOVA) - 3 Groups by Caroline4
  • Roll a 100-sided Virtual Dice by MichaelBartmess
  • Roll a 12-sided Virtual Dice by MichaelBartmess
  • Roll a 20-sided Virtual Dice by MichaelBartmess
  • Roll a 4-sided Virtual Dice by MichaelBartmess
  • Roll a 50-sided Virtual Dice by MichaelBartmess
  • Roll a 6-sided Virtual Dice by MichaelBartmess
  • Roll a 8-sided Virtual Dice by MichaelBartmess
  • Roll a D-100 by MichaelBartmess
  • Roll Five Virtual Cube Dice by MichaelBartmess
  • Roll Four Virtual Cube Dice by MichaelBartmess
  • Simple Corn Yield by KurtHeckman
  • Single-Sample t-test by Caroline4
  • Slugging Percentage by EmilyB
  • Spearman's rho correlation by Caroline4
  • Stolen Base Percentage by EmilyB
  • The Sorensen Coefficient by Megan
  • Time of Death by DavidC
  • Times on Base by EmilyB
  • Total Average by EmilyB
  • Total Bases by EmilyB
  • Variance (Population) by MichaelBartmess
  • Variance (Sample) by MichaelBartmess
  • Variance(Bernoulli) by MichaelBartmess
  • Variance(Bernoulli) by JustinLiller
  • Variance(Binomial) by MichaelBartmess
  • Variance(Binomial) by JustinLiller
  • Variance(Geometric) by MichaelBartmess
  • Variance(Geometric) by JustinLiller
  • Variance(Hypergeometric) by JustinLiller
  • Variance(Hypergeometric) by MichaelBartmess
  • Variance(Pascal) by MichaelBartmess
  • Variance(Pascal) by JustinLiller
  • Variance(Uniform) by JustinLiller
  • Variance(Uniform) by MichaelBartmess
  • Watts and Strogatz Degree Distribution by MichaelBartmess
  • Weighted Geometric Mean (bounded criteria) by MichaelBartmess
  • Weighted Geometric Mean (DataSet criteria) by MichaelBartmess
  • Weighted Geometric Mean (ten input criteria) by MichaelBartmess
  • Weighted Grade Average by MichaelBartmess
  • Wilcoxon signed rank test by Caroline4
  • z-score by MichaelBartmess
  • z-score equation (find x)