statistics Flashcards

(32 cards)

1
Q

dependent

A

value depends on the other value

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2
Q

drawing scatter graphs

A

if applicable, controlled x, dependent y

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3
Q

Interpolation

A

Between upper and lower bounds of data

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4
Q

Extrapolation

A

Beyond given data (less reliable, relationship may not continue to be linear)

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5
Q

Steep + large positive syy

A

small sxx

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6
Q

shallow + positive/negative

A

small syy, large sxx

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7
Q

y on x

A

y=a+bx
predicting y given x
minimise distances in x-direction

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8
Q

residuals

A

distance of a point from a regression line

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9
Q

Σresiduals

A

0

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10
Q

r

A

-1≤ r ≤1
measure of correlation

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11
Q

PMCC conditions

A

data evenly spread within an ellipse
bivariate normal distribution (2 variables, continuous, random)

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12
Q

correlation

A

How close data is to a line

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13
Q

PMCC

A

Testing for correlation in the population sample

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14
Q

1-tailed

A

Specific correlation

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15
Q

2-tailed

A

Any correlation

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16
Q

first statemrnt pmcc

A

Let p (rho) be the population correlation coefficient

17
Q

null hypothesus PMCC

A

There is no correlation between x and y in a population

If defined, p = probability

18
Q

coefficient of determinant r^2

A

Proportion of the variation in y that is explained by the variation in x
How much h changes as x changes
Higher r^2 closer to line

19
Q

regression line random on non-random

20
Q

pmcc reject/accept

A

|r| > c.v reject H0

21
Q

residual

A

Observed - expected

22
Q

Effect sizes over PMCC

A

Large set of random bivariate data
Small non-zero PMCC, reject H0
Uninformative
Better model requires

Not always suitable for large sample because it has a low critical value

23
Q

cohen s,m,l

24
Q

5% significance

A

Probability of getting large PMCC where there is no PMCC in population is 5%

5% chance of incorrectly rejecting H0

25
spearmans conditions
Non-linear Non-random on random Subjective Not roughly elliptical
26
p in spearmans
No, not necessarily an underlying parent population
27
spearmans tests for
Association
28
Association
Any relationship between two variables
29
null hypothesis Spearmans
H0: there is no association between x and y (in context)
30
why should a random sample be taken for a hypothesis test
Proper statistical inference about the population (Assuming data from sample applies to the whole population) Important it is random or results could be skewed
31
chi squared expected value
(Rows x col ) / total
32
chi squared null hypothesis
H0 there is no association