# Category Inferential Statistics

## Chi-Square Goodness-of-Fit Test

Chi-Square Goodness-of-Fit (also referred to a Pearson’s Chi-Square Test) is a statistical method for determining how an actual or observed distribution of categorical variables relates to a theoretical distribution of those same variables. The Chi-Square Test is a non-parametric test meaning that its graph is not expected to approximate a normal distribution curve. An example […]

## Hypothesis Test for Paired Means

This test is sometimes called a Matched Pairs Hypothesis t Test. Matched pair design is when a person is tested against himself or very similar subjects matched in pairs. The randomness happens in which treatment is given first (if the subject is paired with himself) or which treatment is given to who (if contrasting the […]

## Confidence interval for a single proportion

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data, as this site puts it. This site says statisticians use a confidence interval to describe the amount of uncertainty associated with a sample estimate of a population parameter. They are used […]

## Hypothesis Test for Two Independent Proportions

A Hypothesis Test for two Independent Proportions answers a research question through statistical analysis about two independent proportions. This hypothesis test looks at whether or not there is a significant difference between the two proportion variables. Using this hypothesis test our test statistic will be Z, and we will be therefore be modeling with a Null Distribution. This hypothesis […]

## Confidence interval for two independent means

A confidence interval for two independent means is a method of statistical inference to determine if there is a difference between the mean values of two populations, or what the value of the difference may be. Since it compares two populations, there must be a (binary) categorical variable involved in the global population by which to […]

## Confidence Interval for Two Independent Proportions

A confidence interval for two independent proportions is a tool used in inferential statistics to estimate a proportional* difference between two independent populations. These two populations must be distinguished by a single binary categorical variable; e.g. sex (male or female), but not blood type (A, B, AB, or O). With this information, it can be […]

## Hypothesis Test for a Single Proportion

A Hypothesis test for a single proportion is used to see if a sample is reflective of the whole population or is a new proportion must be established for a known value. (Example) Can be used to compare a data set with a known value or null hypothesis. Used when a success/failure is easily applied to […]