6-5-1 Tests

6-5 Tests

The Z Test provides a variety of different standardization-based tests. They make it possible to test whether or not a sample accurately represents the population when the standard deviation of a population (such as the entire population of a country) is known from previous tests. Z testing is used for market research and public opinion research, that need to be performed repeatedly.

1-SampleZ Test tests for the unknown population mean when the population standard deviation is known.

2-SampleZ Test tests the equality of the means of two populations based on independent samples when both population standard deviations are known.

1-PropZ Test tests for an unknown proportion of successes.

2-PropZ Test tests to compare the proportion of successes from two populations.

The t Test tests the hypothesis when the population standard deviation is unknown. The hypothesis that is the opposite of the hypothesis being proven is called the null hypothesis, while the hypothesis being proved is called the alternative hypothesis. The t-test is normally applied to test the null hypothesis. Then a determination is made whether the null hypothesis or alternative hypothesis will be adopted.

1-Samplet Test tests the hypothesis for a single unknown population mean when the population standard deviation is unknown.

2-Samplet Test compares the population means when the population standard deviations are unknown.

LinearReg t Test calculates the strength of the linear association of paired data.

χ2 Test tests hypothesis concerning the proportion of samples included in each of a number of independent groups. Mainly, it generates cross-tabulation of two categorical variables (such as yes, no) and evaluates the independence of these variables. It could be used, for example, to evaluate the relationship between whether or not a driver has ever been involved in a traffic accident and that person’s knowledge of traffic regulations.

2-SampleF Test tests the hypothesis for the ratio of sample variances. It could be used, for example, to test the carcinogenic effects of multiple suspected factors such as tobacco use, alcohol, vitamin deficiency, high coffee intake, inactivity, poor living habits, etc.

ANOVA tests the hypothesis that the population means of the samples are equal when there are multiple samples. It could be used, for example, to test whether or not different combinations of materials have an effect on the quality and life of a final product.

One-Way ANOVA is used when there is one independent variable and one dependent variable.

Two-Way ANOVA is used when there are two independent variables and one dependent variable.

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