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Q3-Q1 and contains the middle 50% of observations |
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In a positive skewed distribution.. |
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You have skew towards lower values mean>median>mode |
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In a negative skewed distribution.. |
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You have skew towards higher values
mean<median<mode |
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In a box-plot, if the median is closer to Q1, then we can say it has a__________skew |
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In a box-plot, if the median is closer to Q3, then we can say it has a__________skew |
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What are the basic characteristics of probabilities? |
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1. Values 0-1 2. Sum of all probs. =1 3. Mutually exclusive 4. Independent events |
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What is the addition rule? |
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P(A OR B)= P(A)+ P(B) - P(A and B) |
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What is the multiplication rule? |
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P(A AND B)= P(A|B) P(B) general P (A) * P(B) if independent |
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What is the difference between a combination and a permutation? |
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In permutation, the order of objects matters |
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What is the binomial distribution? |
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Probability of outcomes for a series of random events each of which can have only two values |
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What is the central limit theorem? |
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Given a pop. of any non-normal distribution, the sampling distribution of the sample mean, computed from all possible values of size n from this pop. will be approx. normal |
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A statistical technique for comparing means for multiple populations by partitioning total variation |
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A global test for the Ho of equality of all means |
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What is the Bonferroni correction? |
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A method to deal with multiple comparisons. Modify significance level a*=a/(p 2). Where p= # comparisons and a the desired alpha level |
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What is the coefficient of determination (r2)? |
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The proportion in the variability of Y explained by X |
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How should residuals look on an histogram if assumptions hold? |
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How should a plot of residuals vs. X look if assumptions hold? |
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What are the assumptions in linear regression models? |
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1. Linear relationship 2. Independent distribution 3. Normally distributed 4. Error terms ind. and normally distributed |
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What is the AIC used for? |
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To compare several MLR models with possibly differing numbers of predictors (not nested). Choose model with lower value |
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How do you detect possible confounding in a regression? |
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When b1 is diff. (>10-15%) in a SLR and a MLR and confounding criteria are met |
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How do you detect possible mediation in a regression? |
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When b1 is different in a SLR and MLR and is in the causal pathway |
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How do you detect possible effect modification in a regression? |
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When the Y-X relation varies by the level of C. Then C modifies the effect of X on Y |
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