Midterm 2 Flashcards

1
Q

Rectangle shaped probability distribution is called:

A

UNIFORM distribution

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2
Q

The symbol u represents?

A

Population Mean

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3
Q

What does the symbol s^2 represent?

A

Sample variance

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4
Q

A bell-shaped curve is called:

A

A NORMAL Distribution

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5
Q

What does a z-score indicate?

A

How many standard deviations from the mean an observation is located.

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6
Q

How many standard deviations is the 95% confidence limits from the mean?

A

2

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7
Q

Why are normal distribution so important?

A

Many dependent variables are commonly assumed to be normally distributed in the population and if a variable is approximately normally distributed we can make inferences about the values of that variable.

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8
Q

The total area under any curve is?

A

One.

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9
Q

Sample size formula:

A

Z^2
N=—— (s^2)
H^2

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10
Q

Sample size formula-proportion:

A

Z^2
N=——% of pop(1-% of pop)
H^2

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11
Q

What is Variance:

A

How dispersed the data is.

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12
Q

What is a synonym for average and how do you find it?

A

Mean; add all the values and divide by the number of observations.

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13
Q

What is a cross tabulation?

A

A statistical process that summarizes categorical data to create a contingency table.

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14
Q

Assuming there is no relationships between variables is called what?

A

The null hypothesis.

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15
Q

How do we find the expected value per cell?

A

(Column X Row) / Total

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16
Q

What does a chi-square test measure?

A

How much variation there is in each cell of the table.

17
Q

Chi-Square:

A

(Obs-Exp)^2/Exp

18
Q

How do you calculate the degrees of freedom?

A

(# of rows -1) x (# of columns -1)

19
Q

Decision Rule:

A

If test statistic> critical value
reject the null
If test star

20
Q

What is a t-test?

A

Is statistic that checks if two means our reliably different from each other.

21
Q

What are descriptive statistics?

A

Statistics that describe the data that you have such as the mean but cannot generalize beyond that.

22
Q

What are inferential statistics?

A

Statistics like t-test for chi-squared test that allow us to make inferences about the population beyond our data.

23
Q

How does a t-test work?

A

It is the variance between the groups divided by the variance within the groups.

24
Q

What is a P value?

A

The P value is the probability that the pattern of the data could be produced by chance that is random data.

25
Q

What is a good guideline to have between four sample size data points?

A

20 and 30+ data points in each group.

26
Q

What types of t-test are there?

A

Independent samples, paired samples, and one sample.

27
Q

Independent samples test what?

A

They compare the means of two different groups.

28
Q

What do you paired sample t-test test?

A

They compare the means of one group twice before and after.

29
Q

What does a one sample t-test test?

A

The mean of one group against some other value example IQ.

30
Q

What are the limitations of t-tests?

A
  1. The results of inferential statistics can only be applied to populations that resembled the sample that was tested.
  2. Your sample and population should be roughly normal in their distribution though the test is robust.
31
Q

What are the last two limitations of t-tests?

A
  1. You should have roughly similar sized groups.

4. All data should be independent.

32
Q

The alternative hypothesis states:

A

There is an association between variables.

33
Q

What is the significance level associated with the 95% confidence interval?

A

The .05 significance level.

34
Q

The Dependant variable in any test is?

A

What is changing and can be measured.

35
Q

Null hypothesis in symbols:

A

Ho: u(before)-u(after) = 0

36
Q

How can you tell whether there was a change in variables or not if you’re jump printout was not readable?

A

If there is a zero between the upper 95% in the lower 95%.

37
Q

Histograms allow us to examine?

A

The DISTRIBUTION of a variable.