# 17.1.8.1 The Distribution Fit Dialog Box

## Supporting Information

To open the Distribution Fit dialog box:

• With a worksheet active, click Statistics: Descriptive Statistics: Distribution Fit...

## Recalculate

Recalculate Controls recalculation of analysis results None Auto Manual For more information, see: Recalculating Analysis Results

## Input Data

For help with range controls, see: Specifying Your Input Data

Data Range The input data range. You can input one or multiple columns The data range containing grouping information. Different grouping values indicate that the data in the corresponding cells are from different groups. You can input only one column for the grouping range. The grouping column will be set as categorical if most of the column values are text. So you can easily reorder the output columns.

## Basic Statistics

Specify the output the descriptive statistics. For computation details, see the statistics on column page

Quantiles Specify to output the quantiles values, which include minimum, 1st quartile(Q1), Median, 3rd quartile(Q3), maximum, interquartile range (Q3 - Q1), range (maximum - minimum) Specify to output the moments, which include N, N missing, mean, standard deviation(SD), SE of mean, lower/upper 95% CI of mean

### More Moments

Specify the output more moment values, which include variance, sum, skewness, kurtosis, uncorrected sum of squares, corrected sum of squares, coefficient of variance, mode

## Basic Tests

### Mean Test

Select from the drop down list to perform t-test or z-test for mean or not to perform the mean test

#### T-Test/Z-Test

Test Mean The hypothetical mean to be tested. When you enter a value, null and alternate hypotheses are adjusted accordingly. Specify the standard deviation value, which will be used in the z-test. Available only when Z-Test is selected The null hypothesis to be tested. (Mean = Test Mean) The alternate hypothesis. Options: Mean <>Test Mean Used for two-tailed test. Test whether the sample mean differs from the hypothesized mean. Mean >Test Mean Used for upper-tailed test. Test whether the sample mean is greater than the hypothesized mean. Mean

### Chi-Square Test for Variance

Test Variance The hypothetical variance to be tested. The null hypothesis to be tested (i.e. sample variance = Test Variance). Options: Variance <> $\boldsymbol{\sigma}_0$ The sample variance differs from the hypothetical variance. Variance > $\boldsymbol{\sigma}_0$ The sample variance is larger than the hypothetical variance (upper-tailed test). Variance < $\boldsymbol{\sigma}_0$ The sample variance is less than the hypothetical variance (lower-tailed test). Compute confidence intervals for sample variance. Specify space-separated confidence levels (%). This option is only available when Confidence Interval(s) is selected.

## Distributions

### Distribution Type

Specify whether continuous distribution or discrete distribution to be performed

Continuous Distribution 5 type of continuous distribution are available from the Distribution branch 2 type of discrete distribution are available from the Distribution branch

### Distributions

Select one or multiple distribution to be fit for the input data

#### Continuous Distribution

Normal LogNormal Weibull Exponential Gamma

Binomial Poisson

## Plots

Box Chart Output the box chart(s) to the result sheet Output the histogram(s) to the result sheet Output CDF plot(s) to the result sheet Output the P-P plot(s) to the result sheet Specify the confidence level for confidence bands of the Probability(P-P) Plot Select this option to arrange plots from multiple data ranges in one graph, which helps to compare the multiple data range. Please note that in the graph histogram will be stacked and with same bin size.

## Goodness of Fit

Komogorov-Smirnov Perform the Komogorov-Smirnov test. Perform the Modified Komogorov-Smirnov test. Perform the Modified Anderson-Darling test.

## Output Settings

Distribution Fit Report Specify the worksheet to output the distribution fit results. Specify a worksheet to output the plotted data (Origin generates tabular data when plots are created).