NormOneSample Class |
Namespace: Imsl.Stat
The NormOneSample type exposes the following members.
Name | Description | |
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NormOneSample |
Constructor to compute statistics for mean and variance inferences
using a sample from a normal population.
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Name | Description | |
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Equals | Determines whether the specified object is equal to the current object. (Inherited from Object.) | |
Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.) | |
GetHashCode | Serves as a hash function for a particular type. (Inherited from Object.) | |
GetType | Gets the Type of the current instance. (Inherited from Object.) | |
MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) | |
ToString | Returns a string that represents the current object. (Inherited from Object.) |
Name | Description | |
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ChiSquaredTest |
Returns the test statistic associated with the chi-squared test for
variances.
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ChiSquaredTestDF |
Returns the degrees of freedom associated with the chi-squared test
for variances.
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ChiSquaredTestNull |
The null hypothesis value for the chi-squared test.
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ChiSquaredTestP |
Returns the probability of a larger chi-squared associated with the
chi-squared test for variances.
| |
ConfidenceMean |
The confidence level (in percent) for a two-sided interval estimate
of the mean.
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ConfidenceVariance |
The confidence level (in percent) for two-sided interval estimate of
the variances.
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LowerCIMean |
Returns the lower confidence limit for the mean.
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LowerCIVariance |
Returns the lower confidence limits for the variance.
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Mean |
Returns the mean of the sample.
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StdDev |
Returns the standard deviation of the sample.
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TTest |
Returns the test statistic associated with the t test.
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TTestDF |
Returns the degrees of freedom associated with the t test for
the mean.
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TTestNull |
Sets the Null hypothesis value for t test for the mean.
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TTestP |
Returns the probability associated with the t test of a larger
t in absolute value.
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UpperCIMean |
Returns the upper confidence limit for the mean.
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UpperCIVariance |
Returns the upper confidence limits for the variance.
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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
Property StdDev, returns value
The property TTest returns the t statistic for the two-sided test concerning the population mean which is given by
where s and 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
where s is given above. This quantity has a distribution with n - 1 degrees of freedom. Property ChiSquaredTestDF returns the degrees of freedom.