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
Statistics Calculators and Collections
Statistics Equations
- Anova Use Equation
- Arithmetic Mean Use Equation
- Arithmetic Mean (average) Use Equation
- Arithmetic Mode Use Equation
- average (mean) Use Equation
- Average number of kernels on five ears Use Equation
- Basketball Scoring Efficiency Use Equation
- Batting Average Use Equation
- Batting Average Against Use Equation
- Bayes' Theorem for Disease Testing Use Equation
- Bayes' Theorem for Event Probability Use Equation
- Big Decimal Round Use Equation
- Binomial Coefficient Use Equation
- Business Stats Use Equation
- Chebyshev's Inequality(1) Use Equation
- Chebyshev's Inequality(1) Use Equation
- Chebyshev's Inequality(2) Use Equation
- Chebyshev's Inequality(2) Use Equation
- Chi-Square (Stats) Use Equation
- Chi-square goodness-of-fit test (C=3) Use Equation
- Chi-squared test for association Use Equation
- Choosing a Non-Parametric Test Use Equation
- Choosing a Parametric Test Use Equation
- Choosing a Relationship Test Use Equation
- Circular r-Permutation of n Elements Use Equation
- Coefficient of variation Use Equation
- Coin Flip Use Equation
- Competition Analysis Use Equation
- Conditional Probability of B given A Use Equation
- Count Use Equation
- Defense-Independent Component ERA Use Equation
- Descriptive Statistics (n=10) Use Equation
- Descriptive Statistics (n=11) Use Equation
- Descriptive Statistics (n=12) Use Equation
- Descriptive Statistics (n=6) Use Equation
- Descriptive Statistics (n=7) Use Equation
- Descriptive Statistics (n=8) Use Equation
- Descriptive Statistics (n=9) Use Equation
- Displaced Gaussian Use Equation
- Earned Run Average Use Equation
- Effect Size (Cohen's d) Use Equation
- Effect Size (r-squared) Use Equation
- Equivalent Average Use Equation
- Expected Value(Bernoulli) Use Equation
- Expected Value(Binomial) Use Equation
- Expected Value(Discrete Uniform) Use Equation
- Expected Value(Geometric) Use Equation
- Expected Value(Geometric) Use Equation
- Expected Value(Hypergeometric) Use Equation
- Expected Value(Pascal Distribution) Use Equation
- Expected Value(Pascal) Use Equation
- Factorial Analysis of Variance (ANOVA) - 2x2, n=24 Use Equation
- Fielding Independent Pitching Use Equation
- Fielding Percentage Use Equation
- Five Ear Sample Average Use Equation
- Free Throw Percentage Use Equation
- Frequency Distribution Use Equation
- Frequency Distribution Use Equation
- Frequency Distribution (10 bin) Use Equation
- Gamma Function Use Equation
- Gaussian Use Equation
- Gaussian Distribution Use Equation
- Gaussian Distribution - Displaced Use Equation
- Grades Card Frequency Distribution Use Equation
- Law of Total Probability P(A+B) Use Equation
- Least-squares Trend Inference Use Equation
- least-squares trend line Use Equation
- Life expectancy [country] Use Equation
- Lognormal Use Equation
- Lognormal Distribution Use Equation
- Mann-Whitney U test Use Equation
- Matthews Correlation Coefficient Use Equation
- Max Use Equation
- Maximum Use Equation
- Mean Use Equation
- Median Use Equation
- Median Use Equation
- Mid Point Use Equation
- Min Use Equation
- Minimum Use Equation
- Multiple Values from Gaussian Distribution Use Equation
- Multiple Values from Gaussian Distribution (as string) Use Equation
- Numeric Sort Use Equation
- Observational Statistics Use Equation
- On-base Percentage Use Equation
- On-base Plus Slugging Use Equation
- One Way ANOVA Use Equation
- One-way Analysis of Variance (ANOVA) - 3 Groups Use Equation
- P(event) = F / T Use Equation
- P(n,S) - Bionomial Probability Use Equation
- P(y) from z Use Equation
- P(y) Left and Right of z Use Equation
- P(y) right of z Use Equation
- Paired Samples t-test Use Equation
- Paired Samples t-test (n=6) Use Equation
- Pearson correlation Use Equation
- Percent Relative Standard Deviation Use Equation
- Percentile Use Equation
- Performance Index Rating Use Equation
- Pooled Standard Deviation Use Equation
- Population Standard Deviation Use Equation
- Population Variance Use Equation
- Probability between raw scores Use Equation
- Probability between z SCORES Use Equation
- Probability of A and B Use Equation
- Probability of A or B Use Equation
- Probability of Non-independent Events (A, B) Use Equation
- Pythagorean Expectation Use Equation
- Random 0 OR 1 Use Equation
- Random Integer Use Equation
- Random Integer [0 , Upper] Use Equation
- Random Real Number in Range Use Equation
- Random Real [0.0, 1.0] Use Equation
- Random Real [0.0, Upper] Use Equation
- Random Sample (k items) Use Equation
- Range Use Equation
- Range Use Equation
- Range Factor Use Equation
- Rank Order Centroid Use Equation
- Regression Line (n=6) Use Equation
- regression test -- data set access (Weighted Geometric Mean) Use Equation
- Relative Standard Deviation Use Equation
- Repeated-measures Analysis of Variance (ANOVA) - 3 Groups Use Equation
- Roll a 100-sided Virtual Dice Use Equation
- Roll a 12-sided Virtual Dice Use Equation
- Roll a 20-sided Virtual Dice Use Equation
- Roll a 4-sided Virtual Dice Use Equation
- Roll a 50-sided Virtual Dice Use Equation
- Roll a 6-sided Virtual Dice Use Equation
- Roll a 8-sided Virtual Dice Use Equation
- Roll a D-100 Use Equation
- Roll Five Virtual Cube Dice Use Equation
- Roll Four Virtual Sided Dice Use Equation
- Sample Standard Deviation Use Equation
- Sample Statistics Use Equation
- Sample Variance Use Equation
- Simple Corn Yield Use Equation
- Simple Stats Use Equation
- Single-Sample t-test Use Equation
- Slugging Percentage Use Equation
- Spearman's rho correlation Use Equation
- Standard Deviation of Mean Use Equation
- Standard Error of the Mean (SEM) Use Equation
- Statistical Mode Use Equation
- Stolen Base Percentage Use Equation
- Sum Use Equation
- Sum of Squares Use Equation
- Sum Squared Use Equation
- t-test critical value lookup Use Equation
- The Sorensen Coefficient Use Equation
- Time of Death Use Equation
- Times on Base Use Equation
- Total Average Use Equation
- Total Bases Use Equation
- Variance (Population) Use Equation
- Variance (Sample) Use Equation
- Variance(Bernoulli) Use Equation
- Variance(Bernoulli) Use Equation
- Variance(Binomial) Use Equation
- Variance(Binomial) Use Equation
- Variance(Geometric) Use Equation
- Variance(Geometric) Use Equation
- Variance(Hypergeometric) Use Equation
- Variance(Hypergeometric) Use Equation
- Variance(Pascal) Use Equation
- Variance(Pascal) Use Equation
- Variance(Uniform) Use Equation
- Variance(Uniform) Use Equation
- Virtual Dice Use Equation
- Watts and Strogatz Degree Distribution Use Equation
- Weighted Average Use Equation
- Weighted Geometric Mean (bounded criteria) Use Equation
- Weighted Geometric Mean (DataSet criteria) Use Equation
- Weighted Geometric Mean (ten input criteria) Use Equation
- Weighted Grade Average Use Equation
- Wilcoxon signed rank test Use Equation
- y from P(y) Mean and SD Use Equation
- z from P(y) Use Equation
- z SCORE Use Equation
- z SCORE formula Use Equation
- z-score Use Equation
- z-score equation (find x) Use Equation
- z-score equation (find z) Use Equation
- z-score from known mean & SD Use Equation
Statistics Constants
- 1 sigma Use Constant
- 2 sigma Use Constant
- 3 sigma Use Constant
- 6 sigma Use Constant
- Littlewood's Law Use Constant
- Attachments
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