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Fixed another typo, added 'false negative' to Type II
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mmargenot committed Jan 26, 2017
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2 changes: 1 addition & 1 deletion lectures/Hypothesis Testing.ipynb
Original file line number Diff line number Diff line change
Expand Up @@ -220,7 +220,7 @@
"| Do not reject $H_0$ | Correct Decision | Type II Error |\n",
"| Reject $H_0$ (accept $H_A$) | Type I Error | Correct Decision |\n",
"\n",
"Our significance level is equal to the probability of a Type I error (a \"false positive\") occuring. The probability of a Type II Error occuring is denoted by $\\beta$. If we try to decrease the probability of a Type I error occuring, we increase the probability of a Type II error occuring, resulting in a tradeoff. The only way to reduce the probability of both a Type I and a Type II error occuring is to increase the sample size.\n",
"Our significance level is equal to the probability of a Type I error (a \"false positive\") occuring. The probability of a Type II error (a \"false negative\") occuring is denoted by $\\beta$. If we try to decrease the probability of a Type I error occuring, we increase the probability of a Type II error occuring, resulting in a tradeoff. The only way to reduce the probability of both a Type I and a Type II error occuring is to increase the sample size.\n",
"\n",
"The conventional significance levels are $0.1$, $0.05$, and $0.01$. Rejecting the null at $0.1$ mean that we have some evidence null is false, $0.05$ means we have strong evidence null is false, rejecting at $0.01$ we have very strong evidence that null is false."
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