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The table shown on the right can be used in a two-sample t-test to estimate the sample sizes of an experimental group and a control group that are of equal size, that is, the total number of individuals in the trial is twice that of the number given, and the desired significance level is 0.05. [4]
Table 1: Summary of notation ... The effective sample size, defined by Kish in 1965, is calculated by dividing the original sample size by the design effect. [1] ...
The sample size is variable Computers can be used to ease the burden of calculation The "chart" actually consists of a pair of charts: One to monitor the process standard deviation and another to monitor the process mean, as is done with the x ¯ {\displaystyle {\bar {x}}} and R and individuals control charts .
Fisher's exact test (also Fisher-Irwin test) is a statistical significance test used in the analysis of contingency tables. [1] [2] [3] Although in practice it is employed when sample sizes are small, it is valid for all sample sizes.
The value 3.267 is taken from the sample size-specific D 4 anti-biasing constant for n=2, as given in most textbooks on statistical process control (see, for example, Montgomery [2]: 725 ). Calculation of individuals control limits
The sample extrema can be used for a simple normality test, specifically of kurtosis: one computes the t-statistic of the sample maximum and minimum (subtracts sample mean and divides by the sample standard deviation), and if they are unusually large for the sample size (as per the three sigma rule and table therein, or more precisely a Student ...
0.84 0.994 457 883 210: 0.9995 3.290 526 731 492: 0.95 1.644 853 626 951: 0.99995 3.890 591 886 413: 0.975 1.959963984540: 0.999995 4.417 173 413 469: 0.99 2.326 347 874 041: 0.9999995 4.891 638 475 699: 0.995
and the total sample size (number of runs) is N = k × L × n. Balance dictates that the number of replications be the same at each level of the factor (this will maximize the sensitivity of subsequent statistical t- (or F-) tests).