User:Craig Pemberton/Sandbox1

Summary of Elementary Statistics

This is a summary of elementary statistics concepts. It may become an article.

random variable	$Y$
measurement	$y_{i}$
levels of measurement	$<categorical,ordinal,quantitative,continuous,ratio>$
sample	$\{measurement_{i}\}$
sample size	n = $|sample|$
category	$c_{i}\in partition(sample)$
frequency	$|c_{i}|$
relative frequency	$frequency/n$
histogram	uniform repartitioning of categories
dotplot	an alternative to a histogram for small sample sizes
mode	$max({frequency_{i}})$(categorical), $maxima({frequency_{i}})$(ordinal)
scale free	independent of axis scaling
mean	${\bar {y}}=\Sigma y/n$(quantitative)
deviation	$y_{i}-{\bar {y}}$
[[]]	$\Sigma (y_{i}-{\bar {y}})=0$
robust	$\Delta /\Delta y_{i}\rightarrow 0$

Order Statistics

order statistic	$ord(p,sample)=...$(ordinal)
min	$ord(0.00,sample)$
first quartile	$ord(0.25,sample)=Q1$
median	$ord(0.50,sample)$
third quartile	$ord(0.75,sample)=Q2$
max	$ord(1.00,sample)$
interquartile range	$IQR=Q2-Q1$
lower fence	$Q1-1.5IQR$
upper fence	$Q3+1.5IQR$
outlier	$\notin [$lower fence, upper fence$]$
box plot	${\displaystyle }$
modified box plot	${\displaystyle }$

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