M14 - Approaches of regression analysis

Question 1

Bernoulli Distribution

• Def
• In which models does the dependent variable follow a bernoulli distribution?

Answer 1

• is the probability distribution of a random variable which takes the value 1 with success probability of p and the value 0 with failure probability of q=1-p.
• dichotomous models

Question 2

Binomial distribution

Answer 2

• describes the outcome probabilities of a sequence of identical and indipendent experiments, each with two possible outcomes
• sum of n Bernoulli distributed variables that are identical (same p) and independently distributed

Question 3

Normal distribution

Answer 3

• in the case of large n the binomial distribution converges to a normal distribution

Question 4

t-distribution

Answer 4

Estimation of the standardized means of n normally distributed random variables

• for large n, the distribution follows a normal distribution- also when the variance is known

Question 5

Chi²-distribution

Answer 5

• sum of n squared normally distributed random variables

Question 6

F distribution

Answer 6

• the ratio of two chi² distributed variables follows a F-distribution
  H0= several/ all coefficients are zero

Question 7

Poisson distribution

Answer 7

Approximation of binomial distribution if n is large an dp is small