Statistics Flashcards

1
Q

what are stats tests used for

A

to determine whether differences between data sets are significant or if it is due to natural variation.

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2
Q

how do u plot the data u collect in stats

A

in a normal distribution curve

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3
Q

what is the mean

A

the average value and it is the maximum height of the normal distribution graph

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4
Q

what is the standard deviation

A

the spread about the mean

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5
Q

to what confidence/percentage do biologists use for the s.d.

A

95% = 1.96 s.d.
95% of pop lie within this value

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6
Q

how can u use a graph to visually see the variation

A

if the curve is wide then it means there is a lot of variation in the sample

if the curve is quite narrow there is not much variation

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7
Q

in a normal distribution, what is the percentage of the pop that lies within one s.d. above or below the mean

A

68%

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8
Q

how much of the pop lies within 2 s.d. above or below the mean

A

95%

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9
Q

how is standard deviation a better way to measure the spread than the range

A

it is less affected by extreme values

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10
Q

how can standard deviation values be used to plot error bars

A

plot one standard deviation above the point an one below so that the total length of the bar is 2 standard deviations

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11
Q

how to work out s.d on calculator

A

press mode
then press 2
press 1 ad go on table
put in values
press AC
shidt then no 1
no. 4
and then no. 4

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12
Q

which eq should u always use for bio

A

use the sample one = n-1

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13
Q

example calc - mean IQ is 100 with s.d. 15
a) bwt what IQ’s do 95% fall

b) what proportion have IQ over 130

A

mean = 100
s.d. = 15
95% lie with +/- 2 s.d.
95% of pop 100 +/- (2x15)
IQ range 70 —-> 130

b) 2.5%

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14
Q

what is a working hypothesis

A

idea of what you think might happen

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15
Q

what is a null hypothesis

A

what you think will not happen

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16
Q

What should u make sure that u do before starting analysis

A

write down null hypothesis

17
Q

what probalilty do u work with

A

0.05 probability level = P=0.05

18
Q

what results of stats are we looking for

A

95% chance it is significant and not due to chance
or 95% that result was due to chance

19
Q

what test do u use if u need to compare two sets of data when u have 30 values in each data set and the data is normally distrubuted

A

the t-test

20
Q

what does the t-test find

A

wether the difference between the means is significant

21
Q

what are the two types of t-test

A

unpaired
paired

22
Q

what is an unpaired t-test

A

-for groups that are independent to one and other
-used for comparing the means from two groups of different individuals eg the height of limpets in two different habitats

23
Q

what is the paired t-test

A

-groups that are related to one and other
-this is used when the data is from the same individuals eg measurement taken from the same people before and after a drug test

24
Q

will the calculated t value be larger or smaller if the results are significant

25
will the t calc value be larger or smaller if the results are not significant
smaller
26
how to carry out an unpaired t-Test
-start with null hypothesis - there is no significant difference between the means no of ... -calculate the mean for each data set -calculate the standard deviation for each data set using the formula/ calculator -put the mean and standard deviation values into the t-Test formula to calculate t value -calculate the degrees of freedom -look up critical value at P=0.05 and compare with calculated p value -conclusion
27
what is the degree of freedom
number of samples - 1
28
what is the conclusion if the tcalc >/ tcrit
-null hypothesis is rejected - there is a significant difference between the two mean values -with less than a 5% probability of the results being due to chance
29
what is the conclusion if the tcalc /< tcrit
-the null hypothesis is accepted -there is no significant difference between the two mean values -there is a 95% probability of results being due to chance
30
what is the spearmans rank correlation coefficent
-correlation bwt variables that do not have a normal distrubition -used to look for associations between different measurements from the same sample -use to test the strength and direction of the correlation
31
how to set up spearmans rank
-set up a table -place the values from each site into columns -rank each - the most being 1 - highest value -is there are two values add next two ranks together and divide by 2 -minus the two ranks from each other -A-B -square this value - D^2 -add these tg - add the values of D^2 -sub into eq 1- (6x sum of D2/ n^3 x n)
32
next steps after calc spearmans rank
find on critical value of coefficent - correspond to the number of pairs of measurement - basically how many rows are in the table interpret stats calc is bigger then reject null - sig correlation crit bigger then accept nul - no sig correlation
33
what is the chi-squared test
looking at frequencies of individuals in different categories - difference bwt expected and observed is significant
34
when are chi-squared tests often used
genetic crosses
35
what is the chi-squared formula
sum of (O-E)^2/ E
36
how to set up chi-sqaured table
obsereved no and total expected no and total O-E (O-E)^2 (O-E)^2/E and then total
37
how to find expected values
divide total of observed by no of locations
38
how to find expected values for more complicated chi-squared for the first site
times total of row by total column over overall total -specific for each site
39
chi-sqaured step 2
find degrees of freedom for compliacted ones - ( number of rows-1 ) x (number of columns -1 ) then find critcal values and use same conclusion for others