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 | :: Testing Mean with known Variance - Sample Size - Free Statistics Software (Calculator) :: | |
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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.
This free online software (calculator) computes the sample size for the one-sided hypothesis test about the mean, given a user-defined type I and II error. In this test it is assumed that the population variance is known.
Click here to edit the underlying code of this R Module.Click here to edit the underlying code of this R Module.
| Cite this software as: | | Wessa P., (2008), Testing Mean with known Variance (sample size) (v1.0.3) in Free Statistics Software (v1.1.22-r6), Office for Research Development and Education, URL http://www.wessa.net/rwasp_hypothesismean4.wasp/ | | | The R code is based on : | | | Xycoon, Statistics - Econometrics - Forecasting, Office for Research Development and Education, http://www.xycoon.com/ht_mean_knownvar.htm#ex4 | | | | | | | | | | | | | |
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| Source code of R module | | 1 | par1<-as.numeric(par1) | | 2 | par2<-as.numeric(par2) | | 3 | par3<-as.numeric(par3) | | 4 | par4<-as.numeric(par4) | | 5 | par5<-as.numeric(par5) | | 6 | c <- "NA" | | 7 | csn <- abs(qnorm(par5)) | | 8 | if (par2 == par3) | | 9 | { | | 10 | conclusion <- "Error: the null hypothesis and alternative hypothesis must not be equal." | | 11 | } | | 12 | ua <- abs(qnorm(par4)) | | 13 | ub <- qnorm(par5) | | 14 | c <- (par2+ua/ub*(-par3))/(1-(ua/ub)) | | 15 | sqrtn <- ua*sqrt(par1)/(c - par2) | | 16 | samplesize <- sqrtn * sqrtn | | 17 | ua | | 18 | ub | | 19 | c | | 20 | sqrtn | | 21 | samplesize | | 22 | load(file="createtable") | | 23 | a<-table.start() | | 24 | a<-table.row.start(a) | | 25 | a<-table.element(a,hyperlink("http://www.xycoon.com/ht_mean_knownvar.htm","Testing Mean with known Variance","learn more about Statistical Hypothesis Testing about the Mean when the Variance is known"),2,TRUE) | | 26 | a<-table.row.end(a) | | 27 | a<-table.row.start(a) | | 28 | a<-table.element(a,"population variance",header=TRUE) | | 29 | a<-table.element(a,par1) | | 30 | a<-table.row.end(a) | | 31 | a<-table.row.start(a) | | 32 | a<-table.element(a,"null hypothesis about mean",header=TRUE) | | 33 | a<-table.element(a,par2) | | 34 | a<-table.row.end(a) | | 35 | a<-table.row.start(a) | | 36 | a<-table.element(a,"alternative hypothesis about mean",header=TRUE) | | 37 | a<-table.element(a,par3) | | 38 | a<-table.row.end(a) | | 39 | a<-table.row.start(a) | | 40 | a<-table.element(a,"type I error",header=TRUE) | | 41 | a<-table.element(a,par4) | | 42 | a<-table.row.end(a) | | 43 | a<-table.row.start(a) | | 44 | a<-table.element(a,"type II error",header=TRUE) | | 45 | a<-table.element(a,par5) | | 46 | a<-table.row.end(a) | | 47 | a<-table.row.start(a) | | 48 | a<-table.element(a,hyperlink("http://www.xycoon.com/ht_mean_knownvar.htm#ex4","sample size","example"),header=TRUE) | | 49 | a<-table.element(a,samplesize) | | 50 | a<-table.row.end(a) | | 51 | a<-table.end(a) | | 52 | table.save(a,file="mytable.tab") |
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To cite Wessa.net in publications use:
Wessa, P. (2008), Free Statistics Software, Office for Research Development and Education,
version 1.1.22-r6, URL http://www.wessa.net/
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