::Free Statistics and Forecasting Software::

v1.1.23-r7
 
  Black&White | Blue Theme | Normal Fontsize | Increase Fontsize | Decrease Fontsize | Toggle underline
Secure website (SSL) | Donate to wessa.net
 
 


This software module is powered by R

:: Sampling Distribution of the Sample Mean - Free Statistics Software (Calculator) ::

All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

Sampling Distribution of the Sample Mean: sdsm() and CLT.unif and CLT.exp. The very difficult concept of the sampling distribution of the sample mean is basic to statistics both for its importance for applications, and for its use as an example of modeling the variability of a statistic. sdsm() defaults uses a sample size of n=25 - it shows what a typical sample looks like relative to the density function (standard normal) and then shows a similarly-scaled diagram with the simulated sampling distribution of the sample mean. The emphasis is on the precision of averages, rather than the normality aspect. The normality from the CLT is easier to understand than the precision-of-averages aspect, and so the latter is the focus here. One can use the program with different sample sizes: sdsm(ssize=10), sdsm(ssize=50), sdsm(ssize=100) can be tried here. To make the point about the normality of the sdsm, use CLT.unif() or CLT.exp(), which use uniform(0,1) or exponential(1) as the population and show the sdsm as approximately normal. The default sample size is 10 but CLT.unif(25) or CLT.exp(25) works for sample size 25 and any other sample size can also be used this way.

Replications 
Sample Size 
Mean 
Standard Deviation 
Chart options
Width:
Height:







Click here to edit the underlying code of this R Module.

Source code of R module
Top | Output | Charts | References | History | Feedback



Cite this software as:
Weldon L., (2008), Sampling Distribution of the Sample Mean (v1.0.0) in Free Statistics Software (v1.1.23-r7), Office for Research Development and Education, URL http://www.wessa.net/rwasp_samplingdistributionmean.wasp/
The R code is based on :
Weldon Larry, Stat Ed Programs for Demos in R, Simon Fraser University, URL http://www.stat.sfu.ca/~weldon/title.doc
Weldon Larry, R Programs for Statistics Education, Simon Fraser University, URL http://www.stat.sfu.ca/~weldon/Programs
Weldon Larry, Instructions for using R programs for Statistics Education, Simon Fraser University, URL http://www.stat.sfu.ca/~weldon/instructions.doc
Top | Output | Charts | References | History | Feedback
Delete history
Server DateModuleCommand
Tue, 29 Jul 2014 17:45:39 +0100Start of session-
Top | Output | Charts | References | History | Feedback

To cite Wessa.net in publications use:
Wessa, P. (2014), Free Statistics Software, Office for Research Development and Education,
version 1.1.23-r7, URL http://www.wessa.net/

© All rights reserved. Academic license for non-commercial use only.
The free use of the scientific content, services, and applications in this website is granted for non commercial use only. In any case, the source (url) should always be clearly displayed. Under no circumstances are you allowed to reproduce, copy or redistribute the design, layout, or any content of this website (for commercial use) including any materials contained herein without the express written permission.

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. We make no warranties or representations as to the accuracy or completeness of such information (or software), and it assumes no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.

Software Version : 1.1.23-r7
Algorithms & Software : Patrick Wessa, PhD
Server : www.wessa.net

Comments, Feedback & Errors | Privacy Policy | Statistics Resources | Wessa.net Home

 © Wessa.Net 2002-2014  
 
 

Home Page
Equation Plotter
Time Series Analysis
Multiple Regression
Descriptive Statistics
Statistical Distributions
Hypothesis Testing
Simon Fraser University
Aston University

Academic citations
Computations Archive
Search Computations
R Project
FAQ
About Wessa.net
Powered by Linux

Server status page
Any R Server
'Herman Ole Andreas Wold'
'Gwilym Jenkins'
'Sir Ronald Aylmer Fisher'
'George Udny Yule'
'Gertrude Mary Cox'
'Sir Maurice George Kendall'
Installed Packages

History list
Edit R Code