symbols in statistics

SYMBOLS

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Template:List of statistics symbols

In general, the subscript 0 indicates a value taken from the null hypothesis, H₀, which should be used as much as possible in constructing its test statistic. ... Definitions of other symbols:

${\displaystyle \alpha }$, the probability of Type I error(rejecting a null hypothesiswhen it is in fact true) ${\displaystyle n}$ = sample size ${\displaystyle n_{1}}$ = sample 1 size ${\displaystyle n_{2}}$ = sample 2 size ${\displaystyle {\overline {x}}}$ = sample mean ${\displaystyle \mu _{0}}$ = hypothesized population mean ${\displaystyle \mu _{1}}$ = population 1 mean ${\displaystyle \mu _{2}}$ = population 2 mean ${\displaystyle \sigma }$ = population standard deviation ${\displaystyle \sigma ^{2}}$ = population variance ${\displaystyle s}$ = sample standard deviation ${\displaystyle \sum ^{k}}$ = sum (of knumbers

${\displaystyle s^{2}}$ = sample variance ${\displaystyle s_{1}}$ = sample 1 standard deviation ${\displaystyle s_{2}}$ = sample 2 standard deviation ${\displaystyle t}$ = t statistic ${\displaystyle df}$ = degrees of freedom ${\displaystyle {\overline {d}}}$ = sample mean of differences ${\displaystyle d_{0}}$ = hypothesized population mean difference ${\displaystyle s_{d}}$ = standard deviation of differences ${\displaystyle \chi ^{2}}$ = Chi-squared statistic

${\displaystyle {\hat {p}}}$ = x/n = sample proportion, unless specified otherwise ${\displaystyle p_{0}}$ = hypothesized population proportion ${\displaystyle p_{1}}$ = proportion 1 ${\displaystyle p_{2}}$ = proportion 2 ${\displaystyle d_{p}}$ = hypothesized difference in proportion ${\displaystyle \min\{n_{1},n_{2}\}}$= minimum of n1 and n2 ${\displaystyle x_{1}=n_{1}p_{1}}$ ${\displaystyle x_{2}=n_{2}p_{2}}$ ${\displaystyle F}$ = F statistic