hypothesis testing Flashcards

1
Q

how many steps are in hypothesis testing

A

5

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2
Q

what are the steps to hypothesis testing

A
  1. research alt hypoth ; H1
  2. create null H0
  3. construct sampling distribution of stat on assumption null is true
  4. collect data from random sample of pop and compute sample stat
  5. compare sample stat to critical value of distrib
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3
Q

what does hypothesis testinf involve

A

determining how likely obtained result would occur if null hypoth was true

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4
Q

what is probability represented by

A

p value

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5
Q

what does the probability estimate

A

likelihood of obtaining result if null is true

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6
Q

what makes the p value significant so it can reject the null

A

if specific critical value obtained

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7
Q

what is a 1T test

A

specifies direction of deviation from null hypoth

to obtain p of .05 or less; specified side of null hypoth distrib must be .05 or less

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8
Q

what is a 2T test

A

does not specify direction of deviation from null; both sides of null considered
to obtain p of .05 or less, eah side must be .025 or less

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9
Q

what is H0 equal to

A

The null hypotheses will be X is equal to mu.

the individual observation is from the (specified) population.

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10
Q

what is H1

A

The experimental hypothesis will be X is not equal to mu

the individual observation is not from the (specified) population.

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11
Q

what is the APA format for a simple hypoth

A
We can(not) conclude that the individual observation 
          did not come from a population of \_\_\_\_\_, z =\_\_\_\_, 
          p (ns) or < \_\_\_.
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12
Q

what is the process of hypoth testing under normal distrib

A
  1. State hypotheses
  2. Convert score to Z score
  3. Compare the obtained value with the critical value of ±1.96
  4. Make statistical decision
  5. Write up results in APA format
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13
Q

what is a simple hypothesis

A

Normal distribution for sample statistics (mean) when o is known
use central limit theorem to obtain sampling distrib of mean when H0 true

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14
Q

what are the steps of simple hypotheses testing

A
  1. State hypotheses
  2. Compute Standard Error
  3. Convert sample mean to a z-score:
  4. Compare the obtained value with the critical value of ±1.96
  5. Make statistical decision
  6. Write-up the finding in APA format
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15
Q

what happens when we do not know the population SD

A

adjust formula to compute one sample t test

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16
Q

how do you compute t

A

The standard error for a one sample t-test is s divided by the square root of the sample size.

t is equal to (x bar minus mu) divided by the standard error.

17
Q

give steps for sample mean when SDfor pop is unknown

A
  1. State hypotheses
  2. Compute Estimated Standard Error:
  3. Convert score to t score:
  4. Compute Degrees of Freedom: Number of independent
    information remaining after estimating one or more parameters; (df): N-1
  5. Look tcritical and make statistical decision
  6. Write up finding in APA format
18
Q

when is t significant and what can you do if it is

A

t (tobtained) is larger than tcritical, then you can reject the null hypothesis. compare the tobtained with the tcritical to make your statistical decision

19
Q

what is the difference between a z and t test

A

z has SD known whilst t SD isunkown

20
Q

what is the confidence interval

A

range in which think true pop mean will be within specified level of confidence

21
Q

what are the steps for computing confidence interval on the mean

A
  1. Compute the sample mean and standard deviation
  2. Compute estimated standard error:
  3. Compute degrees of freedom: N-1
  4. Look up critical t
  5. Compute CI: ± tcritical( )
  6. Write up finding
22
Q

what is a type 1 error

A

Probability of rejecting H0, given that it is true
Designated as α (.05, .01)

we can only make a type I error WHEN the null hypothesis is true.

23
Q

what is a type 2 error

A
  • Probability of failing to reject H0, given that it
    is false
    Designated as β
24
Q

what happens if we minimise type1 error by moving critical value left

A

increase type 2 error

25
Q

define power

A

Ability to find statistically significant results

involving sample size, effect size and alpha level

26
Q

what happens if you increase effect size

A

power increases

27
Q

wht happens if you increase sample size

A

SE reduced; poower increases

28
Q

what are assumptions of parametric data

A
  • Normally distributed data
    - Data within the population is normally
    distributed
    • Homogeneity of variance
      • Variances should be the same
    • Interval data
      • Distance b/t scale points should be equal
    • Independence
      • Behaviour of one P doesn’t influence another’s