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26 Cards in this Set

  • Front
  • Back

In _________ Statistics, Sample must be unbiased, representative of the population, and large enough.

Inferential

The ‘Gold Standard’ to which other sampling techniques aspire

Random Sampling

every member of the population must have an equal chance of being selected

Equi-probability

the selection of any one member of the population should not affect the chances of any other being selected.

Independence

Random Sampling is virtually impossible

Volunteer sample


Snowball sampling


Purposive sampling


Convenience sampling

Simple Random Sampling


Stratified Random Sampling


Multistage Sampling


Digital Number Sampling

Random Sampling

Formula to calculate the area under the normal distribution

● Y = frequency of a given value of X*


● X = any score in the distribution


● µ = mean of the distribution


● N = total frequency of the distribution


● π = a constant of 3.1416


● e = a constant of 2.7183

In Normal Distribution, if ___________ and ___________ is given, then everything that is needed to know is given.

Mean and Standard Deviation

_______of cases lie within 2 SDs of the Mean.


________of cases lie between the Mean and -2 SDs.


________ of cases lie between the Mean and +3 SDs.


________ of cases lie more than 2 SDs below the Mean

95.45%


47.72%


49.9%


2.27%

Z-score formula

Z = (x-μ)

A score that is presented in terms of the number of standard deviations above the mean is called a __________

z-score

a transformed score that designates how many Standard Deviation units the corresponding raw score is above or below the Mean

Z-SCORE

process by which the raw score is altered

Score transformation

_________ allows us to determine the number or percentages of scores that fall above or below any score in the distribution.

Z-score

What is the Important use of Z-score

The ability to compare scores that are measured on different scales is of fundamental importance to the topic of correlation.

Z- scores have the same shape as the set of _____________.

Raw scores

In normal distribution the mean of the z-score, will always be equal to ______ (meaning it will have the same mean as the raw scores)

Zero

A raw score that is 1 SD above the mean has a z score of

+1

Tells us that, given some assumptions, the sampling distribution of the mean will form a normal distribution, with a large sample.



With a smaller sample, the distribution will be t-shaped.

Central Limit Theorem

The CLT tells us that if the distribution in the sample is approximately normal, then the ________ distribution will be the correct shape

sampling

If the sample distribution is not normal, but the sample is large enough, then the sampling distribution will still be normal (or__________).

T-shaped

The central limit theorem states

that the sampling distribution of any statistic will be normal or nearly normal, if the sample size is large enough

The more closely the sampling distribution needs to resemble a normal distribution, the more sample points will be required

Requirements for accuracy

The more closely the original population resembles a normal distribution, the fewer sample points will be required.

The shape of the underlying population

standard deviation of the sampling distribution of the mean.

Standard Error

In a histogram represented as a line chart, with continuous variables on the x-axis (and where the y-axis represents the _______________)

frequency density (mostly quantity ng variables)