TITLE:
Development of New LSD Formula when Numbers of Observations Are Unequal
AUTHORS:
Ali A. Al-Fahham
KEYWORDS:
ANOVA, Statistics, LSD Formula, Unequal Observations, F Test
JOURNAL NAME:
Open Journal of Statistics,
Vol.8 No.2,
April
4,
2018
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 to
achieve these comparisons, this method consumes more time and effort. The
purpose of this research is to find out a new method to do easy and reliable
comparison between population means when the experiment or data involving
different 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 one
step instead of doing it with many steps that consume more effort and time. In
this work, the researcher used the mean of the replication number in the LDS
formula instead of doing the calculation many times for each two means. The
results of this study found that the new formula give similar results for
multiple comparisons with minimal effort. It was concluded that the new formula
(named Al-fahham’s Formula) achieves the same results with less time and
efforts. It was recommended that Al-fahham’s Formula can be approved in the
statistical textbooks and procedures.