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Development of New LSD Formula when Numbers of Observations Are Unequal

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Document pages: 6 pages

Abstract: In the case of comparison between samples with unequal replications [n1 # n2 # n3 # ... # nk],the statistician should use LSD (Least Significant Difference) many times toachieve these comparisons, this method consumes more time and effort. Thepurpose of this research is to find out a new method to do easy and reliablecomparison between population means when the experiment or data involvingdifferent numbers of replications. In order to do this, a new formula was designed;the aim of this new formula is to develop the multiple comparisons into onestep instead of doing it with many steps that consume more effort and time. Inthis work, the researcher used the mean of the replication number in the LDSformula instead of doing the calculation many times for each two means. Theresults of this study found that the new formula give similar results formultiple comparisons with minimal effort. It was concluded that the new formula(named Al-fahham’s Formula) achieves the same results with less time andefforts. It was recommended that Al-fahham’s Formula can be approved in thestatistical textbooks and procedures.

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