R Code - Introduction to One-Variable Transformations...

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Introduction to One-Variable Transformations Statistics 342 Example #1 - Transformations of a Single Random Variable: Normal Distribution Generate a sample of 10,000 observations from a normal distribution with mean = 10 and standard deviation = 3 normsample<- rnorm(10000, 10, 3) Calculate the observed mean of this sample. mean(normsample) [1] 10.03625 Calculate the observed standard deviation of this sample. sqrt(var(normsample)) [1] 3.021919 Get a histogram of this sample data. The "prob = T" part of the command gives you a probability histogram. hist(normsample, prob = T) Transform the observed data in normsample to a new variable called newdata. This transformation takes the value of the normal random variable and subtracts the mean and divides by the standard deviation. This is the standardization process discussed in typical introductory statistics courses. newdata<- (normsample - 10)/3 Calculate the observed mean of the observations of this new variable. Notice that the value is
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R Code - Introduction to One-Variable Transformations...

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