mathe Flashcards

1
Q

types of variables

A

categorical ->describes categories
qualitative-> describes magnitude

discrete-> counted
continous -> measured

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2
Q

level of measurement

A

nom numeric

  • nominal: describe categories
  • ordinal: describe differences but not to which degree

numeric:

  • interval: freely chosen 0 point, describe differences and to what degree
  • ratio: fixed 0 point, differences, degree, ratios
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3
Q

frequency distribution

A

nominal scaled

metric scaled: how often a value k is not exceeded

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4
Q

measurement of central tendency

A

mean : average

median: divides set into two halfs
mode: the value that occurs most frequently

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5
Q

measurment of dispursion

A

deviation: how observation differs from mean
variance
standard deviation: typical distance from mean
range: distance between largest and smallest observation

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6
Q

bivariate frequency distributions

A

describe observed frequencies of two variables at a time and their relationship

contingency table:
-describe joint distribution of variables

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7
Q

correlation and coveriance

A

coveriance shows positive association between variables

correlation shows direction if association (-1-1)

spearman rank correlation coefficient if at least on ordinal

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8
Q

methods of estimation

A

ordinary leadt square regression

  • difference between observed and estimated value is residual
  • OLS shows line with minimum squared distances
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9
Q

probability theory

A

value between 0 and 1 describing the possibility and event will occur

probability distribution:
function that relates value to its probability (e.g binomial how often occurs head when thrown 6 times)
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10
Q

probability distribution of continuous random variables

A

with increasing n it becomes a binomial distribtuon and when n approaches infinity this becomes a normal distribution

no talk about the probability being in a intervall

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11
Q

sampling distribution

A

how close the sample mean is to population mean

central limit theorem
-sampling distribution can be approximated with normal distribution with larger sample size

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12
Q

confidence interval

A

the interval of which you are confident that it will contain the population mean

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13
Q

hypothesis test use and steps

A

test if a claim about a population is correct or not

  1. assumption
  2. hypothesis (null or alternative null)
  3. level of significance (allowing max prob of error)
  4. test statistics (two tailed - it is or not, one tailed- above or below)
  5. p value
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14
Q

one sample t test

A

tests the distance between sample mean and a value in nr of standard errors

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15
Q

independent samples t test

A

differences of population means

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16
Q

chi square test

A

if variables are independent

with two caregorical variabls

17
Q

pearson correlation

A

if there is no correlation in the population

with quantitatice variables