Statistical Inference and Regression Models

This quiz contains multiple-choice on probability and statistics, basics of statistical inference, regression models, distributions and likelihood, binary and count outcomes and residual variations.

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Which of the following is the probability calculus of beliefs, given that beliefs follow certain rules?

Bayesian probability

Frequency probability

Frequency inference

Bayesian inference

Which of the following can be considered as a random variable?

The outcome from the roll of a die

The outcome of flip of a coin

The outcome of exam

All of the above

Which of the following are random variables that take on only a countable number of possibilities?

Discrete

Non-discrete

Continuous

All of the above

Which of the following is also referred to as random variable?

Stochast

Aleatory

Eliette

All of the above

Bayesian inference uses frequency interpretations of probabilities to control error rates. True or false?

True

False

Which of the following conditions should be satisfied by a function for PMF?

The sum of all of the possible values is 1

The sum of all of the possible values is 0

The sum of all of the possible values is infinite

All of the above

Which of the following functions is associated with a continuous random variable?

PDF

PMV

PMF

All of the above

Statistical inference is the process of drawing formal conclusions from data. True or false?

True

False

Which of the following is incorrect with respect to use of Poisson distribution?

Modeling event/time data

Modeling bounded count data

Modeling contingency tables

All of the above

__ random variables are used to model rates.

Empirical

Binomial

Poisson

All of the above

Which of the following form the basis for frequency interpretation of probabilities?

Asymptotics

Symptotics

Asymmetry

All of the above

Bernoulli random variables take [only] the values 1 and 0. True or false?

True

False

The __ states that the sample mean is consistent.

LAN

LLN

LWN

None of the above

Which of the following theories states that the distribution of averages of properly normalised IID variables becomes that of a standard normal as the sample size increases?

Central limit theorem

Central mean theorem

Centroid limit theorem

All of the above

The binomial random variables are obtained as the sum of IID Gaussian trials. True or false?

True

False

Quiz/Test Summary

Title: Statistical Inference and Regression Models

Questions: 15

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