Data Science Questions and Answers – Likelihood

This set of Data Science Multiple Choice Questions & Answers (MCQs) focuses on “Likelihood”.

1. The _________ of the Chi-squared distribution is twice the degrees of freedom.
a) variance
b) standard deviation
c) mode
d) none of the mentioned
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2. Point out the correct statement.
a) Asymptotics are incredibly useful for simple statistical inference and approximations
b) Asymptotics often lead to nice understanding of procedures
c) An estimator is consistent if it converges to what you want to estimate
d) All of the mentioned
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3. Gosset’s distribution is invented by which of the following scientist?
a) William Gosset
b) William Gosling
c) Gosling Gosset
d) All of the mentioned
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4. The _________ of a collection of data is the joint density evaluated as a function of the parameters with the data fixed.
a) probability
b) likelihood
c) poisson distribution
d) all of the mentioned
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5. Point out the wrong statement.
a) Asymptotics generally give assurances about finite sample performance
b) The sample variance and the sample standard deviation are consistent as well
c) The sample mean and the sample variance are unbiased as well
d) None of the mentioned
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6. Which of the following is a property of likelihood?
a) Ratios of likelihood values measure the relative evidence of one value of the unknown parameter to another
b) Given a statistical model and observed data, all of the relevant information contained in the data regarding the unknown parameter is contained in the likelihood
c) The Resultant likelihood is multiplication of individual likelihood
d) All of the mentioned
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7. CLT is mostly useful as an approximation.
a) True
b) False
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8. The beta distribution is the default prior for parameters between ____________
a) 0 and 10
b) 1 and 2
c) 0 and 1
d) None of the mentioned
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9. Which of the following mean is a mixture of the MLE and the prior mean?
a) interior
b) exterior
c) posterior
d) all of the mentioned
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10. Usually replacing the standard error by its estimated value does change the CLT.
a) True
b) False
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