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12 Cards in this Set

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Two Sample T-Test

T-distribution is used to model the sampling distribution of the difference between means when:


* σ is unknown for one or both populations


* the population distributions are reasonably normal

Critical Value

To calculate:


* Calculate degrees of freedom: df = n1+ n2 - 2


* Use df and alpha to locate the critical value on a t-table.

Paired Sample

A data-set of two values from the same population or from two populations that are inherently related, aka dependent populations.

Paired Sample Tests

Similar to two-sample tests, but they analyze the mean of a set of differences.





Paired sample t-tests

Usually performed, assuming the standard deviation is unknown. n is the total differences measured (not total data points) and df = n-1.

Two-Sample z-test

Performed if samples are random and large (n*p>15 and n*(1-p)>15). The standard normal distribution models the sampling distribution of the difference between proportions.

Analysis of variance (ANOVA)

Helps to see if there's a difference in means across three or more populations.

Group Mean

The mean of the data points in a single group.

Grand Mean

The mean of every data point overall.

SST (Total Sum of Squares)

The data's overall variance from the grand mean.

SSW (Sum of Squares Within)

The variance within a group (between its data points and its group mean)

SSB (Sum of Squares Between)

The variance between all group means and the grand mean.




More prominent than SSW because it's probability doesn't rely on random chance.