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Data Analysis and Interpretation 1: Descriptive Statistics
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... mean. We discuss the new distribution, the t-distribution, which adds an extra variation caused by not knowing the population standard deviation. We also add an additional assumption known as the nearly normal assumption, which requires that the sample size be greater than forty or the histogram of ...
< 1 ... 139 140 141 142 143 144 145 146 147 ... 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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