Stats year 1 Flashcards

(90 cards)

1
Q

Define population

A

A complete set of data where every element is included

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2
Q

Define sample

A

A selection of the population

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3
Q

Define census

A

why is it rare?

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4
Q

Define sampling units

A

These are the elements of data in a sample

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5
Q

Define sampling frame

A

A list of sampling units

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6
Q

Define random sampling methods

A

Every element of the population has an equal chance of being selected

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7
Q

What are the 3 random sampling methods?

A

Simple random sample

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8
Q

Define simple random sample

A

Using random numbers or ‘names out of a hat’

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9
Q

Define systematic sample

A

All elements numbered

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10
Q

Define stratified sampling

A

The proportion of groups in the population are represented in the survey

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11
Q

What is the danger of non-random sampling?

A

Bias

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12
Q

Define opportunity sampling

A

Your sample is whoever turns up

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13
Q

Define quota sampling

A

Numbers are calculated for each group then when groups are filled

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14
Q

Define qualitative data with examples

A

Groups of data

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15
Q

Define quantitative data with examples

A

Numerical data

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16
Q

What two types of data can quantitative data be sectioned into?

A

Discrete and continuous

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17
Q

What is discrete data?

A

Whole numbers

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18
Q

What is continuous data?

A

Data that can take any value

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19
Q

What does n/a mean?

A

Not available

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20
Q

If one cell of data has n/a in it

A

what should you do to the whole row?

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21
Q

What does tr mean?

A

Trace

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22
Q

If a cell of data has tr in it what should you do to it? Why?

A

Assume it’s 0
Because it means anything less than 0.05(near 0)

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23
Q

How is daily mean temperature measured?

A

Values are noted in degrees (Celsius) and tenths

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24
Q

What is the daily mean temperature?

A

The average of the hourly air temperature readings during the period 0900-0900 GMT

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25
How is daily total rainfall measured?
Millimetres (mm)
26
What is daily total rainfall?
24-hour periods commencing at 0900 GMT on the day of entry and includes any solid precipitation
27
How is daily total sunshine measured?
In hours and tenths
28
What is daily total sunshine?
The amount of bright sunshine recorded on the day of entry
29
How is daily maximum relative humidity measured?
As a percentage
30
What is daily maximum relative humidity?
A measure of how close the air is to being saturated with water vapour. Values greater than 95% are associated with mist and fog
31
How is wind speed measured?
Knots
32
What is knots to mph?
1 knot = 1.15 mph
33
How is the daily mean wind speed measured?
Averaged over the 24 hours from 0000GMT on the date given
34
What is maximum gust speed?
The maximum instantaneous speed that occurred during the 24 hours from 0000GMT on the date given
35
How is the daily mean wind direction measured?
Averaged over the 24 hours from 0000GMT on the date given
36
How is daily maximum gust direction measured?
In degrees from true north
37
What is daily maximum gust direction?
The direction from which the wind was blowing when the maximum gust during the hour commencing at the time of entry occurred
38
What is cloud cover?
The fraction of the celestial dome covered by cloud
39
How is cloud cover measured?
Measured in eighths (Oktas)
40
What is visibility?
The greatest distance at which an object can be seen and recognized in daylight
41
How is visibility measured?
Measured horizontally
42
How is pressure measured?
By the SI unit of pressure
43
Which station is the furthest north?
Leuchars
44
Which station is the furthest south?
Perth
45
Describe where Leuchars is
A coastal station far north in Scotland
46
Describe where Leeming is
An inland station in Northern England
47
Describe where Heathrow is
An inland station in Southern England
48
Describe where Hurn is
A coastal station in Southern England
49
Describe where Camborne is
A coastal station in South West England
50
Describe where Jacksonville is
An overseas coastal station in South East USA
51
Describe where Perth is
An overseas coastal station in South West Australia
52
Describe where Beijing is
An overseas inland station in Eastern China
53
What is better
range or IQR?
54
What is variance?
A calculation of spread using every piece of data
55
Standard deviation is the ____ _____ of variance
Square root
56
Does the mean of squares = the square of means?
No
57
Variance =
Mean of squares - square of means
58
Symbols for variance and standard deviation
σ for standard deviation and σ^2 for variance
59
What does an x with a bar on top mean?
The mean of x
60
Variance equation
((Σ(x^2))/n) - ((Σx)/n)^2
61
Standard deviation equation
Root(((Σ(x^2))/n) - ((Σx)/n)^2)
62
How does coding by +/- affect mean?
If y = x - a
63
How does coding by x/÷ affect mean?
If y = x/b
64
How does coding by +/- affect standard deviation?
If y = x - a
65
How does coding by x/÷ affect standard deviation?
If y = x/b
66
Another way to write variance
Variance = (sxx)/n
67
Probability rule for mutually exclusive events
P(A or B) = P(A) + P(B)
68
Probability rule for independent events
P(A and B) = P(A) x P(B)
69
Define random variable
A variable whose value depends on the outcome of a random event
70
Define sample space
The range of values that a random variable can take
71
What makes a variable random?
If the outcome is not known until the experiment is carried out
72
What does a probability distribution do?
Fully describes the probability of any outcome in the sample space
73
What is a discrete uniform distribution?
When all of the possibilities are the same
74
sum of P(X=x) =
1
75
Binomial distribution
B(n
76
Binomial distribution formula
(n choose r)(p^r)((1-p)^(n-r))
77
What symbol is the index?
n
78
What symbol is the parameter?
p
79
When can you model x with a binomial distribution?
Fixed number of trials
80
What does a cumulative probability function do?
Tells you the sum of all the individual probabilities up to and including the given value
81
What is a hypothesis test?
A statement made about the value of a population parameter
82
What is the null hypothesis?
H0
83
What is the alternative hypothesis?
H1
84
One-tailed tests are
When your alternative hypothesis is in the form > or <
85
Two-tailed tests are
When your alternative hypothesis is in the form ≠
86
When do you reject the null hypothesis?
If likelihood < significance level
87
A critical region is
A region where
88
The critical value is
The first value to fall inside the critical region
89
What must you do to the significance level in a two-tailed test?
Halve it
90