7- Significance test Flashcards

1
Q

What is a significance test ?

A

a statistical procedure for evaluating the plausibility of the null hypothesis.

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2
Q

What is another word for statistically significant ?

A

It simply means unusual. It low for occuring by chance

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3
Q

What is a null hypothesis ?

A

a hypothesis about the distribution of scores from which a sample was drawn.

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4
Q

What is the formula for zobs?

A

m-mew/om

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5
Q

What is z obs ?

A

A test statistic

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6
Q

What is a test statistic ?

A

is computed from a sample statistic, such as the sample mean.

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7
Q

We say that a statistic is statistically significant when…

A

it has a low probability of occurrence under the null hypothesis.

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8
Q

What is a p-value ?

A

It expresses the probability of a statistic, or one more extreme, occurring by chance when the null hypothesis is true.

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9
Q

When rejecting a null hypothesis we treat is as…

A

Tough

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10
Q

When a hypothesis is plausible we…

A

Retain it. It just mean that evidence (zobs) is not sufficient for us to treat it as implausible.

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11
Q

What is the criterion for significance of the p-values ?

A

less than 0,05 are statistically significant and more than 0,05 are not !

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12
Q

You want your p-value to be … as possible to be significant

A

smaller

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13
Q

What are directionnal tests ?

A

make predictions about whether a statistic will be greater or less than a specified parameter.

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14
Q

Directional tests are also called…

A

One tailed tests

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15
Q

What are non-directionnal tests ?

A

make no prediction about whether a statistic will be greater or less than a specified parameter. The p-value associated with a test statistic (such as zobs) is the area in two tails of the distribution

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16
Q

What are non-directionnal tests called ?

A

Two tailed tests

17
Q

How do you compute the interval for z obs ?

A

2* P(zbs)

18
Q

Any zobs outside the interval ±1.96 will be…

A

statistically significant

19
Q

Any zobs within the interval ±1.645 will…

A

not be statistically significant

20
Q

What is z critical ?

A

is the z-score that zobs must exceed for us to reject the null hypothesis. By exceed we mean further from 0 than the criterion.

21
Q

What is H0: ?

A

symbolic name for the null hypothesis, and the colon (:) is a way of saying, “what follows.”

22
Q

How is the alternative hypothesis called ?

A

The research hypothesis !

23
Q

How do you express the null hypothesis, when two populations are considered ?

A

H0: mew1 = mew0

or

H0: mew1-mew0=0

24
Q

What is the symbol to alternative hypothesis ?

A

H1

25
Q

How do you write the meaning of a p-value ?

A

p= Pr (statistic | Hypothesis).

ex: .0062 = Pr(2.5 |H0).

26
Q

What is the inverse probability error.

A

p = Pr(Hypothesis |Statistic).

IT IS WRONG