t-test
t-test
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The most common use comparison test between two subset of data
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For Example try to make hypothesis that left-hand and right-hand have no different batting average
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t-test is used to approve or decline our null hypothesis, while t-test is parametric test in our statisitic significance test.
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NULL Hypothesis, is hypothesis for our data to be asked, if both of our data is similar? or the sample acquired through data that drawn from normal distribution(same population).
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By doing t-test we reduce all the comparison test to one number only, the t value
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if only contain 1 sample, compare average, to average sample 0
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if two samples, compare average 0 to average 1.
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t-value denotes how extreme our results, and probabilty it will reject out null hypothesis
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the v value denotes how many variable took into t calculations
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gD4w/Zd/a0uP2iP2kfjz4PHhu30rR/A+uvY6ZfR3BdryJZCm5xgYJxng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%0ARWt3JnJaSJSFO7vxzmvo/wCCXwH+Gf7Pnwdg8EfDHQI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fEfWvCXhjxdomu+IdJiEmoWdldLI8CkgZOD6kCu4uraG902e1uVDwTIUdT3BGDTtZ6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%0A0uf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the p value produced by t and v, will then the value that will determine our hypothesis accepted based in our null hypothesis was true
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suppose we want to know the difference batting avg left and right, giveb our null hypothesis both no different
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then if pvalue 0.5, the variance between t and v at least 5% at extreme.
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pcritical acts like some kind of threshold value. and it will determine whether our null hypothesis is accepted
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this threshold value will be quite tedious if we set it manually. rather, it can be done automatically.
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by specifyinhg equal-var=true, the calculations will be exactly the same as welch's t-test
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it will return a tuple, t and p value
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we can do it by comparing the sample with one another
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for our null hypothesis set to true, p must be less than p critical
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Basic implementation Welch's t-test with python