Independent Samples T test: For 2 Samples

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What is the independent and dependent variable of the example below? Do women own more shoes than men?

IV: Women/Men DV: Amount of shoes

Do we want to reject the null in the case of homogeneity

No

Are smaller or larger samples better at estimating the population

larger

How do you calculate the degrees of freedom

df = n1 + n2 - 2

What do you need to know for obtaining the critical value

directional or non directional df alpha level

This research compares how many groups on a variable of interest

2

What distribution is associated with the dependent variable

A normal distribution

Homogeneity of Variance states that

Both variances are equal.

What are the assumptions of independent samples

Each value is sampled independently of each other Two populations are normally distributed Two populations must have equal variances. σ^21 = σ^22

What is the null hypothesis for a two tailed test (Non directional)

H0: mu 1 = mu 2

What is the null hypothesis for a one tailed test (Directional)

H0: mu 1 > or equal to mu 2 H0: mu 1 < or equal to mu 2

What is the alternative hypothesis for a one tailed test (Directional)

H1: mu 1 > mu 2 H1: mu 1 < mu 2

What is the alternative hypothesis for a two tailed test (Non directional)

H1: mu 1 is not equal to mu 2

Sampling fluctuation

How statistical values vary from sample to sample

Why is the estimated standard error equation biased

It's biased because it treats the variances equally when they are not

In the estimated standard error part of the t statistic formula, the M1 approximates

Mu 1 with some error and Mu 2 with some error.

Heterogeneity of variance states that

Samples are drawn from populations with different variances

Leptokurtosis

Sharpest peak

What is the assumption with estimated standard error equation

That n1 and n2 are equal.

Platykurtosis

The curve with a plateau

Mesokurtosis

The middle curve

Which hypothesis state that the variances are equal

The null

What does the alternative hypothesis state

The samples come from different populations

What does kurtosis mean?

The sharpness of a peak of a frequency-distribution curve

The null is saying that

The two samples from from the same population

If the samples come from different populations, that means

There is a difference between the two groups

If the two samples come from the same population

There is no significant difference

The two groups being studied have an equal

Variance

When does heterogeneity of variance occur

When one variance is 4 times more than the other and when variance and sample size are unequal

How do you decide which group is mu 1 or mu 2

Which ever one is said first is mu 1

n

the number of scores for the groups n1 = number of scores for group 1 n2 = number of scores for group 2

Pooled variance is the average of

the two sample variances

When do you use pooled varience

when n1 is not equal to n2


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