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Chpt 12 - 20 > chpt 13 review > Flashcards

chpt 13 review Flashcards

1
Q

What are the different types of situations do we use just ANOVA

A
  1. single factor ANOVA (completely randomzied design)
  2. Randomized block design
  3. Factorial experiment
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2
Q

Why do we use single factor (completely randomized design) for?

A

Do all 3 populations come from the same pop

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3
Q

what is the null hypothesis for a single factor ANOVA

A

Ho: M1=M2=M3
Ha: Not all pop means are equal

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4
Q

What is a key word for ANOVA

A

Avg or Mean = Randomized block design

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5
Q

What test do we use for significance for ANOVA

A

F test

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6
Q

What is the formula for the F test

A

MSTR/MSE

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7
Q

If we reject Ho for a single factor ANOVA, what can we conclude

A

that the means of 3 pops are NOT equal

there is a significant difference b/w at least one mean

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8
Q

If not all means are equal in a single factor ANOVA, what can we do

A
  • use fisher’s LSD (a multiple comparsson procedure)
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9
Q

What is the HO for Fisher’s LSD

A

Ho: Mi = Mj

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10
Q

What is the test for LSD

A

xbar1 -xbar 2 compare to lsd = ta/2 x square root of MSE (I/n + 1/n)

remember ta/2 is dividing the a by 2
- use df = total - k

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11
Q

What is the degrees of freedom for LSD

A

total - k

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12
Q

WHat is the randomized block design used for

A

to remove variation form the MSE term

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13
Q

what is the null hypothesis for the randomized block design

A

M1=M2=M3 (same as single factor ANOVA)

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14
Q

If we reject Ho for randomized block design, what can we say

A

conclude that the mean for the 3 differ

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15
Q

How do you calculate overall mean

A

do it and check sheet

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16
Q

how do you calculate Randomized block design for all levels

A

refer to sheet

17
Q

What is the confidence interval for ANOVA

A

Xbar 1 - x bar 2 +/- LSD

18
Q

How do you reject LSD

A

when xbari - x barj is greater than or equal to LSD

19
Q

If we reject Ho for LSD (xbar1 - xbar 2 is greater than lsd) what can we say

A

significant and therefore there is a significant differences

if we do not reject Ho: not significant, does not appear to be any significant difference b/w the mean1 and mean 2

20
Q

what is the formula for bonferoni

A

a EW/C

c- test pairwise comparisons

ex. a = 0.05
and there are 3 pops

then a = 0.05/3 = 0.017

21
Q

what is the formula for bonferoni

A

a EW/C

c- test pairwise comparisons

ex. a = 0.05
and there are 3 pops

then a = 0.05/3 = 0.017

22
Q

Comparing x bari-x bar j and lsd when do you reject ho and what is the conclusion

A

Reject ho if
x bari-x bar j is > LSD
This one is different

23
Q

In block design, how do you know what is the treatment

A

the treatment is what we are interested in

24
Q

Degrees of freedom for Factorials

A

SSA: a-1 (# of levels of factor A -1)
SSB: b-1 (# of levels of factor B-1)
SSAB: (a-1)(b-1)
SSE: ab(r-1) R= # of replications

25
Q

t - test is to test for signficance of what in simple linear regression

A

slope

26
Q

What is the confidence interval for in ANOVA??

A

the mean value of y for a given value of x

27
Q

What is the prediction interval for

A

predict the value of the dep variable y for a NEW observation

28
Q

What is the formula for a confidence interval

A

see notes

29
Q

What is the formula for a prediction interval

A

see notes

30
Q

When are the confidence interval and prediction interval more precise

A

when the value of the independent value of x* is closer to x bar

x* - given value of x

y* - predicted value of y when x given

31
Q

What does x * mean

A

given value of x

32
Q

what does y* mean

A

predicted value of y when x is given

33
Q

which interval is wider

A

prediction interval will be wider than the confidence interval (confidence interval is closer to the mean)

Chpt 12 - 20 (10 decks)

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