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- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/09%3A_Hypothesis_Testing_about_Population_Mean_and_Proportion/9.02%3A_Inference_for_Categorical_Data/9.2.03%3A_Testing_for_Goodness_of_Fit_using_Chi-Square_(Special_Topic)The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and...The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and standard deviation - that could be used to describe its exact characteristics. The chi-square distribution has just one parameter called degrees of freedom (df), which inuences the shape, center, and spread of the distribution.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/OpenIntro_Statistics_(Diez_et_al)./06%3A_Inference_for_Categorical_Data/6.03%3A_Testing_for_Goodness_of_Fit_using_Chi-Square_(Special_Topic)The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and...The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and standard deviation - that could be used to describe its exact characteristics. The chi-square distribution has just one parameter called degrees of freedom (df), which inuences the shape, center, and spread of the distribution.
- https://stats.libretexts.org/Workbench/Introduction_to_Statistical_Methods_(Yuba_College)/11%3A_Goodness_of_Fit_and_ANOVA/11.02%3A_Goodness_of_Fit_TestThe χ2 goodness-of-fit test can be used to test the distribution of three or more proportions within a single population.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Mostly_Harmless_Statistics_(Webb)/10%3A_Chi-Square_Tests/10.02%3A_Goodness_of_Fit_TestThe χ2 goodness-of-fit test can be used to test the distribution of three or more proportions within a single population.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Statistics_Through_an_Equity_Lens_(Anthony)/01%3A_Chapters/1.05%3A_Significance_of_Statistical_Inference_MethodsThis chapter explores inferential statistics, focusing on concepts such as confidence intervals, hypothesis testing, and errors in statistical inference. It emphasizes the importance of understanding ...This chapter explores inferential statistics, focusing on concepts such as confidence intervals, hypothesis testing, and errors in statistical inference. It emphasizes the importance of understanding sampling variations and discusses tests like t-tests and chi-square tests. It also touches on the misuse of statistics in scientific racism, emphasizing the need for socially just statistical methods. The chapter links statistical inference to broader societal issues.
- https://stats.libretexts.org/Courses/Highline_College/Statistics_Using_Technology_(Kozak)/11%3A_Chi-Square_and_ANOVA_Tests/11.01%3A_Chi-Square_Test_for_IndependenceUsing the multiplication rule for independent events you can calculate the probability of being one value of the first variable, A, and one value of the second variable, B (the probability of a partic...Using the multiplication rule for independent events you can calculate the probability of being one value of the first variable, A, and one value of the second variable, B (the probability of a particular cell \(P(A \text { and } B) )\). It is easier to do the calculations for the test statistic with a table, the others are in table #11.1.2 along with the calculation for the test statistic. (Note: the column of O-E should add to 0 or close to 0.)
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/11%3A_Hypothesis_Testing_about_Goodness_of_Fit_(Multinomial)/11.01%3A_Inference_for_Categorical_Data/11.1.03%3A_Testing_for_Goodness_of_Fit_using_Chi-Square_(Special_Topic)The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and...The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and standard deviation - that could be used to describe its exact characteristics. The chi-square distribution has just one parameter called degrees of freedom (df), which inuences the shape, center, and spread of the distribution.
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/10%3A_Hypothesis_Testing_about_Two_Population_Means_and_Proportions/10.01%3A_Inference_for_Categorical_Data/10.1.03%3A_Testing_for_Goodness_of_Fit_using_Chi-Square_(Special_Topic)The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and...The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and standard deviation - that could be used to describe its exact characteristics. The chi-square distribution has just one parameter called degrees of freedom (df), which inuences the shape, center, and spread of the distribution.
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/08%3A_Finding_Confidence_Interval_for_Population_Mean_and_Proportion/8.02%3A_Inference_for_Categorical_Data/8.2.03%3A_Testing_for_Goodness_of_Fit_using_Chi-Square_(Special_Topic)The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and...The chi-square distribution is sometimes used to characterize data sets and statistics that are always positive and typically right skewed. Recall the normal distribution had two parameters - mean and standard deviation - that could be used to describe its exact characteristics. The chi-square distribution has just one parameter called degrees of freedom (df), which inuences the shape, center, and spread of the distribution.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Statistics_with_Technology_2e_(Kozak)/11%3A_Chi-Square_and_ANOVA_Tests/11.01%3A_Chi-Square_Test_for_IndependenceUsing the multiplication rule for independent events you can calculate the probability of being one value of the first variable, A, and one value of the second variable, B (the probability of a partic...Using the multiplication rule for independent events you can calculate the probability of being one value of the first variable, A, and one value of the second variable, B (the probability of a particular cell \(P(A \text { and } B) )\). It is easier to do the calculations for the test statistic with a table, the others are in table #11.1.2 along with the calculation for the test statistic. (Note: the column of O-E should add to 0 or close to 0.)
