How can the chi-square statistic be interpreted as a measure of the discrepancy between observed and expected probability distributions?

The chi-square statistical test is named after the Greek letter chi, which is the symbol χ2, used to represent this statistic in formulas and results. Dec 4, 2023 ... With both the observed and expected tables at hand, calculating the chi-square statistic becomes a straightforward process. For each cell, ... The chi-square test for homogeneity requires that you compute the degrees of freedom (df) for the test statistic, an expected frequency count (Er,c) for each ... Jan 17, 2022 ... To calculate the Chi-square Statistic and related statistics for a cross-tabulation or grid table,. select the Chi square option in the Analysis ... Jan 13, 2020 ... Now that we have powerful computers with efficient statistical programs it can be done for any table. For Fisher's exact test, we calculate the ... Performing a Chi-Square test in Google Sheets ... The formula to use is =CHITEST(observed_range, expected_range). Where "observed_range" is the counts associated ... For the data in table 8.1 this gives (2 – 1) x (5 – 1) = 4. Another way of looking at this is to ask for the minimum number of figures that must be ... Then, in a different location calculate the expected frequencies of the same dataset. It is very simple and defined by the formula = (row total x column total) ... Jan 6, 2023 ... Bold writing reading "The Chi-Squared Test" with a formula written faintly in ... These types of tests use the chi-square test statistic ... Nov 5, 2019 ... The chi-square test is a statistical test that can be used to determine what observed frequencies are significantly different from expected frequencies.