STAT292 Test 2 exam with correct |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
answers
Methods of analysing continuous response variables - correct answer✔✔- Analysis of variance
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- Regression
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- Analysis of covariance
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- Non-parametric tests
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Methods of analysing discrete counts - correct answer✔✔- Goodness-of-fit tests
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- Contingency tables
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- Poisson regression
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- Loglinear models
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Methods of analysing binary response variables - correct answer✔✔- Test of proportions
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- Logistic regressions
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Define stratification - correct answer✔✔The units sampled are first divided into groups called
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strata and a separate stratified random sampling is taken in each
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Define a Type I error and the probability of a type I error - correct answer✔✔Rejecting H0
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when it's true
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significance level α = probability of a type I error |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
Define a Type II error - correct answer✔✔Accepting H0 when it's false
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Power = 1 - β is the probability of type II error
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, Requirements of a one-way ANOVA - correct answer✔✔1) There is only one factor in the |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
treatments. |||\\\
2) The response variable is continuous.
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3) The units are homogeneous.
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Model assumptions for one-way ANOVA - correct answer✔✔1) Response variable should be
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continuous |||\\\
2) Normality: Data from the i'th group are assumed to come from a normal distribution with
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population mean μi and (population) variance σ^2. |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
3) Constant variance: Variance σ^2 is constant for all groups
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4) Data is independant
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General equation for one-way ANOVA - correct answer✔✔Yij = μi + Eij
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Observed values = expected value + error (deviation from the mean) |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
What is "fitting" a model? - correct answer✔✔- estimate unknown parameters μi and σ
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- find the fitted value for each data point
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- estimate the mean for each group (μi) with the average for each point in the group yi (sample
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mean)
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Equation for residuals - correct answer✔✔Observed value - expected("fitted") value
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Main objective for one-way ANOVA and hypotheses - correct answer✔✔Do these values come
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from the same group (same population mean) or is there significant difference?
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- H0: μ1 = μ2 = ... μp
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- H1: at least one population mean is different
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answers
Methods of analysing continuous response variables - correct answer✔✔- Analysis of variance
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
- Regression
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- Analysis of covariance
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- Non-parametric tests
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Methods of analysing discrete counts - correct answer✔✔- Goodness-of-fit tests
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
- Contingency tables
|||\\\ |||\\\ |||\\\
- Poisson regression
|||\\\ |||\\\ |||\\\
- Loglinear models
|||\\\ |||\\\
Methods of analysing binary response variables - correct answer✔✔- Test of proportions
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
- Logistic regressions
|||\\\ |||\\\
Define stratification - correct answer✔✔The units sampled are first divided into groups called
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
strata and a separate stratified random sampling is taken in each
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Define a Type I error and the probability of a type I error - correct answer✔✔Rejecting H0
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
when it's true
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significance level α = probability of a type I error |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
Define a Type II error - correct answer✔✔Accepting H0 when it's false
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Power = 1 - β is the probability of type II error
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, Requirements of a one-way ANOVA - correct answer✔✔1) There is only one factor in the |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
treatments. |||\\\
2) The response variable is continuous.
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3) The units are homogeneous.
|||\\\ |||\\\ |||\\\ |||\\\
Model assumptions for one-way ANOVA - correct answer✔✔1) Response variable should be
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
continuous |||\\\
2) Normality: Data from the i'th group are assumed to come from a normal distribution with
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
population mean μi and (population) variance σ^2. |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
3) Constant variance: Variance σ^2 is constant for all groups
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
4) Data is independant
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General equation for one-way ANOVA - correct answer✔✔Yij = μi + Eij
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Observed values = expected value + error (deviation from the mean) |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
What is "fitting" a model? - correct answer✔✔- estimate unknown parameters μi and σ
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
- find the fitted value for each data point
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- estimate the mean for each group (μi) with the average for each point in the group yi (sample
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
mean)
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Equation for residuals - correct answer✔✔Observed value - expected("fitted") value
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Main objective for one-way ANOVA and hypotheses - correct answer✔✔Do these values come
|||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\ |||\\\
from the same group (same population mean) or is there significant difference?
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- H0: μ1 = μ2 = ... μp
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- H1: at least one population mean is different
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