Basic statistics Flashcards

1
Q

What are the 4 scales data can be described?

A

Nominal - naming scale
Ordinal - ordering scale 1st, 2nd , 3rd
Interval - Scale 1,2,3,4 or 5,10,15,20
Ratio - interval scale with a fixed 0

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2
Q

The shapiro-wilk test and the kolmogorov-smirov test are tools to assess what?

A

Assessing normality of data ie if normally distributed

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3
Q

How to calculate median

A

(n+1)/2

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4
Q

How to calculate mean

A

Total sum/n

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5
Q

Is median or mean more influenced by skewed data?

A

Mean

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6
Q

How do you quantify variability in a normal distribution?

A

Variance
Standard deviation
Standard error of mean
Confidence interval

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7
Q

What is variance

A

The average amount by which any individual measurement differs from the mean

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8
Q

What is standard deviation, why is it used?

A

Square root of the variance (in ordinal units)

As some differences will be positive and negative, differences cancel others out which is logically useless -

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9
Q

What is the standard error of the mean? What does it take into consideration?

A

How close a sample mean is to the population mean

SEM: Standard deviation/sqaure root of sameple size

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10
Q

What transformations of data can be used it the data is not noramally distrubuted?

A

Logarithm of the data
Square root
Squaring
reciprocal 1/x

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11
Q

Binomial distribution is a scale for what kind of data?

A

Discontinous dichotomas e.g. yes/no, dead/alive

If proportion of one category is know the pther can be calcualted 1-p

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12
Q

In Binomial distribution when number of observations is needed for a normal distibution

A

n>30

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13
Q

Poisson disctribution is a distribution for which kind of data

A

dicrete data. arising when the number of occurances of an event per unit of time are counted

e.g. number of admission per day
It is skewed if the mean is close to 1

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14
Q

The vary of propability is between what

A

0-1

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15
Q

What are type one errors

A

When the hypothesis is wrongly rejected (if p<0.05, once in 20 trials)

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16
Q

what are type two errors

A

When the hypothesis is wrongly not rejected

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17
Q

What is power

A

Power is the probability of rejecting the null hypothesis when, in fact, it is false. (Avoiding type 2 error)
Dependant on sample size

18
Q

Which analysis can be used for testing associations between groups in non-parametric data?

A

Spearmans rho

19
Q

Which analysis can be used for testing associations between groups in normally distributed data?

A

Pearsons
Linear regression analysis
Multiple linear regression analysis

20
Q

Which analysis can be used for comparing groups in non-parametric data?

A
Sign test
Chi square
MnNemar test
Wilcoxon test
Mann Whitney U test
Kruskal-Wallit analysis
21
Q

Which analysis can be used for comparing groups in normally disributed data?

A

Student T test, paired and unparied
F test
Analysis of variance

22
Q

When can Chi squared not be used?

A

Proportion
Any expected number of observations < 5
total number of observations < 20

23
Q

What is the T-test used for?

A

Compare
- the mean of a sample with a predited value
- the means of two sample
Must be normal distribution

24
Q

In the T-test what does it mean if the confidence interval crosses 0.

A

There is no significant difference between the means of the 2 groups at the specified level of confidence

25
Q

What is persons correlations coeficient used for>

A

Measure the degree of assocaiation between 2 variable and is a measure of the scatter of the data around an underlying trend.
At least 1 set of data must be normally distrubuted

26
Q

In persons correlation coefficient, what does the values of 1, -1 and 0 mean?

A

1 - perfect positive correlation
-1 - perfection negative correlation
0 - no association

27
Q

What is sensitivity?

A

Proportion of true positives that are correctly identified

28
Q

What is specificty?

A

Proportion of true negatives that are correctly identifed

29
Q

Positive predictive value?

A

proportion of people with positive results who are correctly identified

30
Q

Negative predicitive calue

A

proportion of people with a negative result who are correctly identifed

31
Q

What is incidence?

A

The rate at which new cases of the disease occur in a population previously free of it

32
Q

What is prevalance?

A

The frequency of existing disease at a given time

33
Q

What is an odds ratio?

A

OR gives an estimate for which a confidence interval can be calculated for the association between 2 binary variables and allows for testing of other variables on thar assoication (logisitic regresstion)

34
Q

What is relative risk?

A

The relative risk (RR) or risk ratio is the ratio of the probability of an outcome in an exposed group to the probability of an outcome in an unexposed group.
Must be selected prospectively.

35
Q

What is level 1a evidence?

A

Systematic review and meta-analysis of RCT

36
Q

What is level 1b evidence?

A

At least 1 RCT

37
Q

What is level 2a evidence?

A

At least 1 well designed control study, without randomisation

38
Q

What is level 2b evidence?

A

At least 1 other type of well designed quasi-expereimental study

39
Q

What is level 3 evidence

A

Well designed descriptive studies

40
Q

What is level 4 evidence

A

Expert committee reports/opinions and/or clinical experience of respected authorities.