Let n be the size of k paired samples. The Q statistic from the Friedman test is given by: Q = 12/(nk(k+1)) Σi=1..k[Ri²-3n(k+1)] where Riis the sum of the ranks for sample i. Where there are ties, the average ranks are used for the corresponding observations. ...
Of the 10 simulations, only those in columns Q and W have a chi-square statistic ≥ 7.352932 (see cells Q33 and W33). Thus, this simulation p-value is 2/10 = .20, with a standard error of .1265, i.e. the square root of .20(1-20)/10. The calculated 99% confidence interval i...
Note 2: If one is using the Data Analysis Toolpak, compare the t-statistic of the results obtained with the t-critical one-tail value. If the t-statistic is larger than the t-critical one-tail value, reject the null hypothesis. Likewise, compare the p one-tail value with the significan...
Calculate the test statistic and the critical value (t-Test, F-test, z-Test, ANOVA, etc.). Calculate a p value and compare it to a significance level (a) or confidence level (1-a). Interpret the results to determine if you "cannot reject null hypothesis (accept null hypothesis)" or...
MK_TEST(R1,lab, tails, alpha): returns a column array with the valuesS,s.e., z-stat, p-value, andtrend. R1 is a column array containing the time series values, iflab= TRUE then an extra column of labels is appended to the output (default FALSE),tails= 1 or 2 (default), andal...
In this instance, the critical value is2.10092204. We cannot reject the null hypothesis because our test statistic t is less than this number. Again, we lack adequate information to conclude that the two population means are distinct. Things to Remember ...
simulations. The number of these approximations is by default set to 1000000, which provides more reliable than those provided in the historical articles. XLSTAT also provides on the basis of these simulations, a p-value and the conclusion of the test based on the significance level chosen by ...
Using the two sample data sets, the demo program calculates a “t-statistic” (t) with value 3.4233 and a “degrees of freedom” (often abbreviated as df, or indicated by the lowercase Greek letter nu, ν) value of 14.937. Then, using the t and df values, a probability value (p-val...
modify the exact test described inWilcoxon Rank-Sum Exact Testto provide an exact test for Mann-Whitney. In particular, we just need to subtractm(m+1)/2 wheremis the size of the smallest of the two samples, from the Wilcoxon rank-sum statistic to get the Mann-Whitney test statistic. ...
(two-tailed test), which indicates a significant result (ifα= .05). We see, however, that if we use a continuity correction, then p-value = .054181 (cell U11), which indicates a non-significant result. Note that the formula used to calculate the z-statistic (cell U10) is =(ABS(...