Statistics Flashcards

1
Q

What is another name for normal distribution

A

Gaussian distribution curve

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2
Q

What is another name for normal distribution

A

Gaussian distribution curve

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3
Q

Why is normal distribution important

A

Followed by many biological variables
E.g bottom of curve it’s uncommon feature
Top of curve most common or average
End of curve less frequent but still common

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4
Q

The mean is

A

Measure of location (average)

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5
Q

Standard deviation is

A

Measure of dispersion (variability)

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6
Q

Mean and standard deviation can be used to calculate what

A

Equation of the curve

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7
Q

Why is calculating the equation of the curve useful

A

To calculate the population

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8
Q

Subtracting one standard deviation from the mean and adding one standard deviation will be

A

68 percent of people will be within one standard deviation of the mean.

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9
Q

Multiply standard deviation by 1.96 and add and subtract that from the mean.

A
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10
Q

Predictions for normal distribution

A

50 percent of values lie below and above the

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11
Q

95 percent of values lie between the mean Substrat 1.96x standard deviation

A

This means 95 percent of values between mean subtract 1.96xsd and mean add 1.96xsd.

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12
Q

You only use the mean and standard deviation if the data is…

A

Normally distributed.

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13
Q

Population

A

Entire group that we would ideally like to study

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14
Q

Sample

A

Sub group of population we actually study

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15
Q

Example
Population of interest;all men over 18 living in the uk
Sample: volunteer males aged over 20 working at factories in five cities in the uk
Is this representative

A

No

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16
Q

Population value

A

Is the population mean
Example mean height of all men in the uk

17
Q

Sample value

A

Is sample mean
If sample is representative this is good unbiased estimate of the population mean

18
Q

Two main factors affect the size of this uncertainty

A

Sample size the more people we study the more confidence we have in estimates accuracy
Standard deviation (variability)

19
Q

Two related measures of uncertainty

A

Standard error- quantifies uncertainty of sample ,am as an estimate of the population mean
Confidence interval provides margin of error of sampl mean as estimate of the population mean.

20
Q

Standard error of mean

A

Smaller than sd of individual values

21
Q

What is confidence level

A

How sure we are that are results are accurate or not

22
Q

Standard error

A

Tells us how precise accurate our sample mean is as an estimate of the population mean.
Calculate by dividing the standard deviation by the square root of sample size
Used to calculate 95 percent confidence intervals expect 95 percent of sample means to fall within -+ 1.96SE of population mean.

23
Q

What can you calculate a confidence interval for
What statistics

A

Mean median risk proportion odds ratio

24
Q

How to calculate incidence risk

A

Developed disease/ total
Total= developed disease and did not develop it

25
Q

Null hypothesis definition

A

There is no real difference between groups

26
Q

Null hypothesis definition

A

There is no real difference between groups

27
Q

Conduct study and collect data
Perform a statistical test and calculate a test statistic
Convert test statistic into a p value
Interpret p value and draw conclusions

A
28
Q

Conduct study and collect data
Perform a statistical test and calculate a test statistic
Convert test statistic into a p value
Interpret p value and draw conclusions

A
29
Q

If p<0.05

A

Reject null hypothesis less than 5 percent probability of obtaining something

30
Q

What is the starting point of statistical analysis

A

Null hypothesis
Need to mention word ‘true’ or ‘in the population’

31
Q

Example: the true mean FEV1 for men is the same as the true mean FEV1 for women
Alternative hypothesis:the true mean fev1 for men is different to the true mean fev1 for women.

A

Take sample 39 men and 46 women
Observed difference in mean fev1 is 1.34 litres
Males mean 4.651 SD=0.761
Females mean=3.31 SD=0.657

32
Q

P less than 0.05 small
P>0.05 large

A
33
Q

If p is larger than 0.05

A

Not enough evidence to reject the null hypothesis at 5 percent significance

34
Q

T value

A

Mean difference/se of mean difference