Statistical Jazz Flashcards
Conditions for binomial
Fixed number of trials (n), trials being a success or failure, independent and constant value of p, a success
Var(X) in a binomial
npq
When can one approximate from binomial to Poisson?
n is large, p is small
When can one approximate from binomial to normal?
n is large, p is close to 0.5, with continuity correction
When can one approximate from Poisson to normal/
Any time when told to with lamda equalling mean and variance, with continuity correction
What is a population?
Collection of individual items
What is a sample?
Selection of individual members of items from a population
What is a finite population?
One where each individual member can be given a number
What is an infinite population?
One where it is impossible to number each member
What is a sampling unit?
An individual member of a population
What is a sampling frame?
A list of sampling units used in practice to represent a population
What is a statistic?
Quantity calculated solely from observations in a sample, a random variable with no unknown parameters, has a sampling distribution that is defined by giving all possible values of the statistic and the probability of each occurring
What is a simple random sample?
One where every possible sample of the population has an equal chance of being selected
What is the critical region?
The set of values of the test statistic for which the null hypothesis is rejected in a hypothesis test
What is a hypothesis test?
A mathematical procedure to examine a value of a population parameter proposed by the null hypothesis, H0, compared to the alternative hypothesis, H1
