# 17.1.9.2 Interpreting Results of Distribution Fit

## Distribution Fit Report Sheet

### Means Test

The Means Test table provides test statistics for whether the mean of data is equal to a specific value

### Chi-Square Test for Variance

The Chi-Square Test for Variance provides test statistics for whether the variance of data is equal to a specific value

### Descriptive Statistics

The Descriptive Statistics table is useful in observing basic statistics of the variables, including means and standard deviations ect

### Quantiles

The Quantiles table reveals how the variable distributes

### Parameter Estimates

In addition to choose a distribution model, we also want to estimate parameters of such model. The Parameter Estimates table answers the question. The method of maximum likelihood is used to estimate parameters.

### Goodness-of-Fit Tests

The Goodness-of-Fit Tests provides statistics how well a sample of data agrees with a given distribution as it's population. You can also look at the Histogram with PDF curve overlay and Probability Plot as graphical technique to evaluate the goodness of fit

### Probability (P-P) Plot

The probability plot is used to test whether a dataset follows a given distribution. It shows a graph with an observed cumulative percentage on the X axis and an expected cumulative percentage on the Y axis. If all the scatter points are close to the reference line, we can say that the dataset follows the given distribution.

### Histogram

Histogram graphically shows properties of your data such as skewness, behavior in the tails, presence of multi-modal behavior, and data outliers. Histogram with PDF curves overlay can be compared to the shapes of PDF curves of different distributions, helping you visually identify an underlying distribution.

### Box Chart

Box chart is a graphical representation of key values from summary statistics.

### Cumulative Distribution Function(CDF)

The Cumulative Distribution Function plot is useful to actually determine how well the distributions fit to data.