Statistics Flashcards

(49 cards)

1
Q

Define population

A

The whole set of items that are of interest

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2
Q

Define sample

A

A subset of the whole population that is intended to represent the whole population

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3
Q

Define sampling unit

A

Each individual item within the population that can be sampled

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4
Q

Define sampling frame

A

A list that is formed when the individual sampling units are named or numbered

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5
Q

Define qualitative data

A

Non-numerical data values .e.g. colour or model of a car

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6
Q

Define quantitative data

A

Numerical data, it can be discrete or continuous

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7
Q

What is the difference between continuous and discrete data?

A

Continuous data is data that can be measured and expressed as a decimal values where as discrete data is data that is counted and only expressed as integers

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8
Q

Give an example of discrete data

A

Number of people or shoe size

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9
Q

Give an example of continuous data

A

Height

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10
Q

Describe the process of random sampling

A

Items in a sample are numbered to form a sampling frame and then a random number generator or other random process is used to select a sampling unit

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11
Q

What are the advantages of random sampling?

A

Cheap, bias free, easy, each item has an equal chance of being selected

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12
Q

What are the disadvantages or random sampling?

A

Not suitable for large data sets, requires a sampling frame

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13
Q

Describe the process of systematic sampling

A

Items are chosen at regular intervals through the sampling frame. Intervals of k where k = Population Size (N) / Sample Size (n). Starts at a random number between 1 and k.

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14
Q

What are the advantages of systematic sampling?

A

Simple, quick, suitable for large populations

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15
Q

What are the disadvantages of systematic sampling?

A

Requires sampling frame, bias can be introduced if sampling frame is not ordered randomly

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16
Q

Describe the process of stratified sampling

A

The population is divided up into groups (strata) which are meant to represent different qualities within the population. A simple random sample is carried out on each strata. The size of the sample is decided using the equation: Sample Size (n) / Population Size (N)

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17
Q

What are the advantages of stratified sampling?

A

Reflects population size and guarantees proportional representation of all groups within the population

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18
Q

What are the disadvantages of stratified sampling?

A

Introduces bias, requires sampling frame, population must be clearly divisible into strata

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19
Q

Describe the process of quota sampling

A

The population is divided into groups according to characteristics and then a quota of items from each group is created and the interviewer will chose the sampling units

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20
Q

What are the advantages of quota sampling?

A

Allows small sample that is representative of the whole population, quick, easy, inexpensive, no sampling

21
Q

What are the disadvantages of quota sampling?

A

Bias, population must clearly divide into groups, increasing scope means increasing groups, non-responses are not recorded

22
Q

Describe the process of opportunity sampling

A

A sample is taken from any sampling unit that is available at the time of the study and meets the criteria

23
Q

What are the advantages of opportunity sampling?

A

Easy and inexpensive

24
Q

What are the disadvantages of opportunity sampling?

A

Bias, dependent on researcher, will not provide equal representation for the whole population

25
What equation is used for the median of a set?
n/2
26
What is interpolation?
A method used to determine the exact position of a value in grouped frequency
27
What should you do if the median or the mean is a fraction?
Round up
28
What does the standard deviation represent?
The average distance from the mean
29
What is linear coding?
The process of applying transformations to a set of data in order to calculate the mean or the variance easier
30
Define outlier
A measurement that does not fit the overall pattern of the data
31
Which bound is plotted in a cumulative frequency diagram?
The upper bound
32
Define extrapolation
Predicting a data point outside the range
33
What does skew show?
The spread of data within a range
34
What does positive skew suggest?
There is a higher proportion of data towards the bottom of the range
35
What does negative skew suggest?
There is a higher proportion of data towards the top of the range
36
What two things are necessary for comparing data?
A measurement of spread and a measurement of location
37
Give an example of a measurement of spread
Range, IQR, quartiles or standard deviation
38
Give an example of a measurement of location
Median, mean or mode
39
Define interpolation
Predicting the location of a value within the range
40
What is data with two variables called?
Bivariate data
41
Define experiment
A repeatable process that leads to a number of outcomes
42
Define event
An outcome or a set of outcomes from one instance of an experiment
43
Define sample set
The whole set of possible outcomes
44
What does it mean when two events are mutually exclusive?
They have no outcomes in common
45
What does it mean when two events are independent?
They have no effect on one another
46
What does 'X' represent?
A random variable that represents a single experiment or trial
47
What does P(X = x) mean?
The probability of X is equal to x
48
What does 'x' represent?
The probability of a single outcome
49
Define critical region
A region of the probability distribution which, if the statistic falls within it, the null hypothesis will be rejected