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The Ljung-Box test is a modified version of the Box-Pierce test which provides better small sample properties The Tukey-Kramer test outputs a q-statistic (lowercase), also called the studentized range statistic, which follows the studentized range distribution
Statistical tests are used to test the fit between a hypothesis and the data. [ 1 ] [ 2 ] Choosing the right statistical test is not a trivial task. [ 1 ] The choice of the test depends on many properties of the research question.
The q-value can be interpreted as the false discovery rate (FDR): the proportion of false positives among all positive results. Given a set of test statistics and their associated q-values, rejecting the null hypothesis for all tests whose q-value is less than or equal to some threshold ensures that the expected value of the false discovery rate is .
Where gap is the absolute difference between the outlier in question and the closest number to it. If Q > Q table, where Q table is a reference value corresponding to the sample size and confidence level, then reject the questionable point. Note that only one point may be rejected from a data set using a Q test.
The Ljung–Box test (named for Greta M. Ljung and George E. P. Box) is a type of statistical test of whether any of a group of autocorrelations of a time series are different from zero. Instead of testing randomness at each distinct lag, it tests the "overall" randomness based on a number of lags, and is therefore a portmanteau test .
In statistical hypothesis testing, a two-sample test is a test performed on the data of two random samples, each independently obtained from a different given population. The purpose of the test is to determine whether the difference between these two populations is statistically significant .
The test questions are randomly selected from a bank of standardised questions. The overall difficulty of the test varies, and the passmark is adjusted accordingly. The numeracy test starts off with a section of 12 mental arithmetic questions, each with a strict time limit, though paper working is allowed. These questions are spoken through ...
An item bank Or Question Bank is a term for a repository of test items that belong to a testing program, as well as all information pertaining to those items. In most applications of testing and assessment , the items are of multiple choice format, but any format can be used.