sample.decomp: Sample decomposition

In utilities: Data Utility Functions

Sample decomposition

Description

sample.decomp returns the data-frame of sample statistics for sample groups and their pooled sample

Usage

sample.decomp(
  moments = NULL,
  n = NULL,
  sample.mean = NULL,
  sample.sd = NULL,
  sample.var = NULL,
  sample.skew = NULL,
  sample.kurt = NULL,
  names = NULL,
  pooled = NULL,
  skew.type = NULL,
  kurt.type = NULL,
  kurt.excess = NULL,
  include.sd = FALSE
)

Arguments

moments	A data-frame of moments (an object of class 'moments')
n	A vector of sample sizes
sample.mean	A vector of sample means
sample.sd	A vector of sample standard deviations
sample.var	A vector of sample variances
sample.skew	A vector of sample skewness
sample.kurt	A vector of sample kurotsis
names	A vector of names for the sample groups
pooled	The number of the pooled group (if the pooled group is already present)
skew.type	The type of skewness statistic used ('Moment', 'Fisher Pearson' or 'Adjusted Fisher Pearson')
kurt.type	The type of kurtosis statistic used ('Moment', 'Fisher Pearson' or 'Adjusted Fisher Pearson')
kurt.excess	Logical value; if TRUE the sample kurtosis is the excess kurtosis (instead of the raw kurtosis)
include.sd	Logical value; if TRUE the output includes a column for the sample standard deviation (if needed)

Details

It is often useful to take a set of sample groups with known sample statistics and aggregate these into a single pooled sample and find the sample statistics of the pooled sample. Likewise, it is sometimes useful to take a set of sample groups and a pooled group with known sample statistics and determine the statistics of the other group required to complete the pooled sample. Both of these tasks can be accomplished using decomposition formulae for the sample size, sample mean and sample variance (or sample standard deviation). This function implements either of these two decomposition methods to find the sample statistics of the pooled sample or the other group remaining to obtain the pooled sample. The user inputs vectors for the sample size, sample mean and sample variance (or sample standard deviation). By default the groups are taken to be separate groups and the function computes the sample statistics for the pooled sample However, the user can input the number pooled sample as the input pooled; in this case that group is treated as the pooled sample and the function computes the other sample group required to obtain this pooled sample. The function returns a data-frame showing the sample statistics for all the groups including the pooled sample.

Value

A data-frame of all groups showing their sample sizes and sample moments

See Also

moments

utilities documentation built on July 1, 2022, 9:06 a.m.