Generates estimates of the mean and standard deviation along with their 95% confidence intervals for a given set of normally distributed data.

Syntax

Mean, Std, MeanCof, StdCof = NormFit(Data)

Argument

Name

Description

Data

A vector of data.

Outputs

Name

Description

Mean

Estimation of the mean of the data.

Std

Estimation of the Standard Deviation of the data.

MeanCof

95% confidence interval of the estimate of the Mean.  A two element column vector with the first and the second being the lower and upper bound of the confidence interval, respectively.

StdCof

95% confidence interval of the estimate of the Standard Deviation.  A two element column vector with the first and the second being the lower and upper bound of the confidence interval, respectively.

Example

For a given dataset (stored in vector data), find the Mean, Standard Deviation and their confidence intervals assuming normal distribution:

Syntax

mu, sigma, mucof, sigmacof = NormFit(data)

Result

Mu and sigma contain estimates of the Mean and Standard Deviation, respectively

mucof is a 2x1 vector with mucof(1) being the lower and mucof(2) being the upper interval of the 95% confidence interval of the Mean.

sigmacof is a 2x1 vector with sigmacof(1) being the lower and sigmacof (2) being the upper interval of the 95% confidence interval of the Standard Deviation.

See Also:

NormPDF

UnifPDF

NormCDF

UnifCDF

UnifFit