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... response of interest. If the study is experimental, then we are using a completely randomized design to obtain our data from k distinct treatment groups. In a completely randomized design the experimental units are randomly assigned to one of k treatments and the response value from each unit is obt ...
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... Equivalence of a Two-Tailed Hypothesis Test and Confidence Interval •If a certain value for µ0 lies outside the corresponding 100(1 – α)%Z confidence interval for µ, then the null hypothesis specifying this value for µ0 would be rejected for level of significance α. • Alternatively, if a certain val ...
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< 1 ... 96 97 98 99 100 101 102 103 104 ... 285 >

Misuse of statistics

Statistics are supposed to make something easier to understand but when used in a misleading fashion can trick the casual observer into believing something other than what the data shows. That is, a misuse of statistics occurs when a statistical argument asserts a falsehood. In some cases, the misuse may be accidental. In others, it is purposeful and for the gain of the perpetrator. When the statistical reason involved is false or misapplied, this constitutes a statistical fallacy.The false statistics trap can be quite damaging to the quest for knowledge. For example, in medical science, correcting a falsehood may take decades and cost lives.Misuses can be easy to fall into. Professional scientists, even mathematicians and professional statisticians, can be fooled by even some simple methods, even if they are careful to check everything. Scientists have been known to fool themselves with statistics due to lack of knowledge of probability theory and lack of standardization of their tests.
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