The Evaluation and Control of the Changes in Basic Statistics Encountered in Grouped Data

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This dissertation describes the effect that the construction of frequency tables has on basic statistics computed from those frequency tables. It is directly applicable only to normally distributed data summarized by Sturges' Rule. The purpose of this research was to identify factors tending to bias sample statistics when data are summarized, and thus to allow researchers to avoid such bias. The methodology employed was a large scale simulation where 1000 replications of samples of size n = 2 ᵏ⁻¹ for 2 to 12 were drawn from a normally distributed population with a mean of zero and a standard deviation of ... continued below

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viii, 107 leaves : ill.

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Scott, James P. May 1979.

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This dissertation is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 16 times . More information about this dissertation can be viewed below.

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  • Scott, James P.

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Description

This dissertation describes the effect that the construction of frequency tables has on basic statistics computed from those frequency tables. It is directly applicable only to normally distributed data summarized by Sturges' Rule. The purpose of this research was to identify factors tending to bias sample statistics when data are summarized, and thus to allow researchers to avoid such bias. The methodology employed was a large scale simulation where 1000 replications of samples of size n = 2 ᵏ⁻¹ for 2 to 12 were drawn from a normally distributed population with a mean of zero and a standard deviation of one. A FORTRAN IV source listing is included. The report concludes that researchers should avoid the use of statistics computed from frequency tables in cases where raw data are available. Where the use of such statistics is unavoidable, the researchers can eliminate their bias by the use of empirical correction factors provided in the paper. Further research is suggested to determine the effect of summarization of data drawn from various non-normal distributions.

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viii, 107 leaves : ill.

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  • May 1979

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  • Aug. 22, 2014, 6 p.m.

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  • Oct. 29, 2018, 9:44 a.m.

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Scott, James P. The Evaluation and Control of the Changes in Basic Statistics Encountered in Grouped Data, dissertation, May 1979; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc331595/: accessed November 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .