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Statistics and Probability Formulas

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#1

Probability

Probability Formulas
#2

Conditional Probability

Conditional Probability Formula
#3

nPr - Permutations

Permutations nPr Formula
#4

Permutations (nPr) for Multiple Subsets

Permutations (nPr) for Multiple Subsets
#5

nCr - Combinations

Combinations nCr Formula
#6

Sample Size by Standard Deviation

Sample Size (using standard deviation) Formula
#7

Sample Size by Proportion

Sample Size (using proportion) Formula
#8

Mean

Mean or Average Formula
#9

Population Variance Estimation

Population Variance Estimation formula
#10

Population Variance

Population Variance formula
#11

Standard Deviation

Standard Deviation (σ) Formula
#12

Population Standard Deviation

Population Standard Deviation (PSD) Formula
#13

Z-Test for x̄ Significance

Z-Test for Sample Mean Significance Formula
#14

Z-Test for Significance of (x̄1 - x̄2) with (σ1 ≠ σ2)

Z-Test for Significance of (x̄<sub>1</sub> - x̄<sub>2</sub>) with (&sigma;<sub>1</sub> &ne; &sigma;<sub>2</sub>) Formula
#15

Z-Test for Significance of (x̄1 - x̄2) with (σ1 = σ2)

Z-Test for Significance of (x̄<sub>1</sub> - x̄<sub>2</sub>) with (&sigma;<sub>1</sub> = &sigma;<sub>2</sub>) Formula
#16

Z-Test for Proportion Significance

Z-Test for Sample Proportion Significance Formula
#17

Z-Test for Significance of (p1 - p2) with P1 and P2

Z-Test for Significance of (p<sub>1</sub> - p<sub>2</sub>) with known P<sub>1</sub> and P<sub>2</sub> Formula
#18

Z-Test for Significance (p1 - p2) with unknown P1 and P2

Z-Test for Significance of (p<sub>1</sub> - p<sub>2</sub>) with unknown P<sub>1</sub> and P<sub>2</sub> Formula
#19

Students t-Test for Mean Significance

Student's t-Test for Mean Significance Formula
#20

Students t-Test for (x̄1 - x̄2) Significance

Student's t-Test for (x̄<sub>1</sub> - x̄<sub>2</sub>) Significance Formula
#21

F-Test between Sample Variances

F-Test for Significance of Two or More Variances Formula
#22

One-Way ANOVA

One Way ANOVA Classification Formulas
#23

Two-Way ANOVA

Two Way ANOVA Classification Formulas
#24

CHI-squared Test

CHI-squared Test formula
#25

Standard or Z-Score

Standard or Z-Score formula
#26

Standard Error (SE) of Sample Mean

Standard Error (SE) for sample mean formula
#27

SE of Difference between Two Sample Means

Standard Error (SE) formula for difference between two sample means
#28

SE of Observed Sample Proportion

Standard Error (SE) formula for observed sample proportion
#29

SE of difference between 2 sample proportions

Standard Error (SE) formula for difference between two sample proportions
#30

Confidence Interval for Mean - Infinite Population

Confidence Interval (CI) formula for Mean - Infinite Population
#31

Confidence Interval for Mean - Finite Population

Confidence Interval (CI) formula for Mean - Finite Population
#32

CI for Proportion - Infinite Population

Confidence Interval formula for Proportion - Infinite Population
#33

CI for Proportion - Finite Population

Confidence Interval formula for Proportion - Finite Population
#34

Margin of Error

Margin of Error (MOE) Formula
#35

Covariance of X and Y

Covariance of X and Y formula
#36

Correlation Coefficient

Correlation Coefficient formula
#37

Linear Regression

Linear Regression Formula
#38

Coefficient of Variation

Coefficient of Variation Formula
#39

Normal Probability Distribution

Normal (Gaussian) Probability Distribution Formula
#40

Poisson Probability Distribution

Poisson Probability Distribution Formula
#41

Binomial Probability Distribution

Binomial Probability Distribution Formula
#42

Skewness & Kurtosis - Binomial Distribution

Binomial Distribution Formula for Skewness and Kurtosis
#43

Negative Binomial Probability Distribution

Negative Binomial Probability Distribution Formula
#44

PDF of Exponential Distribution

PDF of Exponential Distribution Formula
#45

PDF of Uniform Distribution

PDF of Uniform Distribution Formula
#46

PDF of Triangular Distribution

PDF of Triangular Distribution Formula
#47

PDF of Gamma Distribution

PDF of Gamma Distribution Formula
#48

PDF of Weibull Distribution

PDF of Weibull Distribution Formula
#49

nth Percentile Rank

n<sup>th</sup> Percentile Rank
#50

Percentile Score

Percentile Score

Statistics and Probability Formulas Cheatsheet

The complete list of statistics and probability functions basic formulas cheat sheet to know how to manually solve the calculations. Users may download the statistics and probability formulas in PDF format to use them offline to collect, analyze, interpret, present and organize numerical data in large quantities to design diverse statistical surveys and experiments. These basic formulas of statistics and probability functions help users, learners, teachers, professionals or researchers to analyze, model, design and test various statistical surveys and experiments. These formulas reference include the basic functions of mean, mode, median, sample size, variance, standard deviation, standard error, z-score, margin of error, confidence interval, covariance, correlation coefficient, probability, regression, permutations, combinations, normal distribution, binomial distribution, poisson distribution, exponential distribution, uniform distribution, triangular distribution, gamma distribution, weibull distribution, normal distribution, F-distribution, t-distribution, chi-squared distribution, Z-test, t-test, F-test, χ²-test, z-statistics, t-statistics, F-statistics, χ²-statistics, χ²-statistics, critical or p value for Z, F, t and χ² tests, hypothesis testing and two way ANOVA to design and test diverse statistical surveys and experiments. Statistics and probability functions are used in math, science, engineering, finance, health, digital networks, data processing, social concerns, etc to research and analyze the data to draw conclusions or for various purposes.
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