STATBEAN Name: FitDistribution
Purpose: Allows Statgraphics to function as distribution fitting software for the retrieval and distribution of data. Fits distributions to a column of data, computes probabilities, and generates random numbers.
| Name | Type | Description | Possible Values | Default Value |
| origin | double | Origin of distribution (subtracted from data before fitting distribution). | Any double. | 0.0 |
| distributionName | String[nDists] | Name of distribution. | From list below. | "Normal" |
| minimumFrequency | double | Minimum class frequency for chi-squared test. | >0 | 5.0 |
| nDists | int | Number of distributions entered. | 1-25 | 1 |
| numberOfSuccesses | int | Number of successes for negative binomial distribution. | 1+ | 10 |
| populationSize | int | Size of population for hypergeometric distribution. | 1+ | 1000 |
| sizeOfSamples | int | Sample size for binomial and hypergeometric distributions. | 1+ | 100 |
| xVariableName | String[nDists] | The name of the column containing data to be fit, if any. | Any string. | "X" |
| Name | Description | Arguments | Return Value |
| double getCdf(double x,int k) | Computes cumulative distribution function. | Value of random variable x, distribution number. | cdf at x. |
| double getChiSquared(int k) | Returns computed chi-squared test statistic. | Distribution number. | Calculated statistic. |
| double getChiSquaredDF(int k) | Returns degrees of freedom for chi-squared test statistic. | Distribution number. | Degrees of freedom. |
| double getChiSquaredPValue(int k) | Returns P-value for chi-squared test statistic. | Distribution number. | P-value. |
| double getKolmogorovSmirnovD(int k) | Returns computed overall KS test statistic. | Distribution number. | Calculated statistic. |
| double getKolmogorovSmirnovDMinus(int k) | Returns computed lower KS test statistic. | Distribution number. | Calculated statistic. |
| double getKolmogorovSmirnovDPlus(int k) | Returns computed upper KS test statistic. | Distribution number. | Calculated statistic. |
| double getKolmogorovSmirnovPValue(int k) | Returns P-value for overall KS test. | Distribution number. | P-value. |
| double getShapiroWilksPValue(int k) | Returns P-value for Shapiro-Wilks test (for normal distribution only). | Distribution number. | P-value. |
| double getShapiroWilksW(int k) | Returns computed Shpario-Wilks statictic (for normal distribution only). | Distribution number. | Calculated statistic. |
| double getInverseCdf(double p,int k) | Computes inverse cumulative distribution function. | Value of cdf p, distribution number. | Smallest value of x for which cdf is less than or equal to p. |
| double getMean(int k) | Returns the mean of the distribution. | Distribution number. | Mean. |
| double getPdf(double x,int k) | Computes probability density or mass function. | Value of random variable x, distribution number. | pdf or pmf at x. |
| boolean getRandomNumbers(double x[],int n,int k) | Generates n random numbers from the distribution, distribution number. | Output array,number of random numbers to be generated. | true if success |
| int getSampleSize(int k) | Returns the sample size used to fit the distribution. | Distribution number. | Sample size n, or 0 if no data supplied. |
| double getVariance(int k) | Returns the variance of the distribution. | Distribution number. | Variance. |
Available Distributions - see Distributions.
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