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- Collaborative statistics:
This module provides an overview of Statistics Formulas used as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Binomial distribution
, for
Binomial probability
Central limit theorem
Central limit theorem (standard error)
Chi-square distribution
,
,
= positive integer and degrees of freedom
Confidence intervals (one population)
where
where
or
Confidence interval (two populations)
where
where
or
Goodness of fit
Chi-Square
where
observed and
and
Margin of error (mean, σ known)
Margin of error (mean, σ unknown)
Margin of error (proportion)
Mean
Mean (binomial)
Mean (frequency table)
Mean (probability distribution)
Normal distribution
,
Sample size determination (mean)
Sample size determination (proportion)
Sample size determination (where p-hat and q-hat are known)
Standard deviation
Standard deviation (binomial)
Standard deviation (frequency table)
Standard deviation (probability distribution)
Standard deviation (shortcut)
Standard score
or
Student-t distribution
Test for independence or homogeneity
Chi-Square
where
observed and
and
Tests statistic (one sample, μ known)
Test statistic (one sample, μ unknown)
where
Test statistic (one sample, proportion)
Test statistic (two samples, proportions)
where
Test statistic (two samples, two means, μ unknown)
where
smaller of
or
,
Variance
Variance (binomial)
Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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