tails: for Goodness of Fit Test you can use only right tail

Target: Check if the statistical model fits the observations. The test uses Chi-square distribution

Example: checking a fair dice.

Model: the probability of each side is equal - 1/6

H0: fair dice

H1: unfair dice

The groups are the dice's numbers (1,2,3,4,5,6)

In this example, you throw the dice n times**Expected frequency** for each group is n/6**Observed frequency**, the actual times each number appears

H_{0}: Model Fits | |

H_{1}: Model Doesn't Fit | |

Degree Of Freedom (DF) = n - m - 1

Group | Observed Frequency | Expected Frequency |
---|---|---|

The total of the Expected Frequency must be equal to the total of the Observed Frequency

You may copy data from Excel, Google sheets or any tool that separate data with **Tab** and **Line Feed**.

Copy the data, **one block** of **3** consecutive columns includes the top **header row** and left **header column**, and paste below.

hover for example

k: | number of groups | |

n: | sample size | |

χ² | Chi square test statistic |

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