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One of the application of Student's t-test is to test the location of one sequence of independent and identically distributed random variables.If we want to test the locations of multiple sequences of such variables, Šidák correction should be applied in order to calibrate the level of the Student's t-test.
Vincenty's goal was to express existing algorithms for geodesics on an ellipsoid in a form that minimized the program length (Vincenty 1975a). His unpublished report (1975b) mentions the use of a Wang 720 desk calculator, which had only a few kilobytes of memory.
The beta sheet (β-sheet, also β-pleated sheet) is a common motif of the regular protein secondary structure. Beta sheets consist of beta strands ( β-strands ) connected laterally by at least two or three backbone hydrogen bonds , forming a generally twisted, pleated sheet.
With respect to FWER control, the Bonferroni correction can be conservative if there are a large number of tests and/or the test statistics are positively correlated. [ 9 ] Multiple-testing corrections, including the Bonferroni procedure, increase the probability of Type II errors when null hypotheses are false, i.e., they reduce statistical ...
Using MFDR and formulas above, an adjusted MFDR (or AFDR) is the minimum of the mean for m dependent tests, i.e., () = (+) [ +] +. Another way to address dependence is by bootstrapping and rerandomization.
An alternative correction that is believed to be less conservative is the Huynh–Feldt correction (1976). As a general rule of thumb, the Greenhouse–Geisser correction is the preferred correction method when the epsilon estimate is below 0.75. Otherwise, the Huynh–Feldt correction is preferred. [3]
The Šidák correction is derived by assuming that the individual tests are independent. Let the significance threshold for each test be α 1 {\displaystyle \alpha _{1}} ; then the probability that at least one of the tests is significant under this threshold is (1 - the probability that none of them are significant).
What the Riemann–Hurwitz formula does is to add in a correction to allow for ramification (sheets coming together). Now assume that S {\displaystyle S} and S ′ {\displaystyle S'} are Riemann surfaces , and that the map π {\displaystyle \pi } is complex analytic .