NormOneSample Class

Computes statistics for mean and variance inferences using a sample from a normal population.

For a list of all members of this type, see NormOneSample Members.

System.Object
Imsl.Stat.NormOneSample

public class NormOneSample

Thread Safety

Public static (Shared in Visual Basic) members of this type are safe for multithreaded operations. Instance members are not guaranteed to be thread-safe.

Remarks

The statistics for mean and variance inferences are computed by using a sample from a normal population, including methods for the confidence intervals and tests for both mean and variance. The definitions of mean and variance are given below. The summation in each case is over the set of valid observations, based on the presence of missing values in the data.

Property Mean, returns value

$\bar x = \frac{{\sum {x_i } }}{n}$

$\Delta _s^d Z_t$

Property StdDev, returns value

$s = \sqrt {\frac{{\sum {\left( {x_i - \bar x} \right)^2 } }}{{n - 1}}}$

The property TTest returns the t statistic for the two-sided test concerning the population mean which is given by

$t = \frac{{\bar x - \mu _0 }}{{s/\sqrt n }}$

where s and $\bar x$ are given above. This quantity has a T distribution with n - 1 degrees of freedom. The property TTestDF returns the degree of freedom.

Property ChiSquaredTest returns the chi-squared statistic for the two-sided test concerning the population variance which is given by

$\chi ^2 = \frac{{\left( {n - 1} \right)s^2 }}{{\sigma _0^2 }}$

where s is given above. This quantity has a $\chi ^2$ distribution with n - 1 degrees of freedom. Property ChiSquaredTestDF returns the degrees of freedom.

Requirements

Namespace: Imsl.Stat

Assembly: ImslCS (in ImslCS.dll)

NormOneSample Class

Thread Safety

Remarks

Requirements

See Also