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quantitative psychologcal categories
difference, association, prediction
sample
a group of people taken from the population
inference
a conclusion formed by combining known facts, evidence, and background reasoning rather than relying on direct observation
distribution of data
values of data in an experiment (measured by central tendency)
normal distrubition

2s rule of thumb
in a normal distribution, 95% of scores fall between 2 sd of the mean, everything inside this is normal
how can a distribution of data be fundamentally described
central tendency and variability
how to know if entire sample is extreme compared to population
find sample mean
create distribution of sample means
use 2sd rule of thumb to find whether typical or extreme
central limit throem
tells us the precisde characterismtics of any distribution of sample means, mean of sample means is same as population mean, sample size over 30 = normal shape
standard deviation of distribution of standard means (standard error)
as sample size increases, standard error decreases (pop mean becomes more precise)

hypothesis
a statement that predicts an effect (difference or association)
the null hypothesis (H0)
predicts there is no effect, only either null or experimental hypothesis can be supported
null hypothesis significance testing
propose a null hypothesis that a pop mean has a particular valye
proceed assuming null hypothesis is true
determine probability of sample mean occurring if null hypothesis is true
is probability is small, reject null, if large, do not reject null
alpha level - level of significance
5% (0.05), how we determine which sample means are expected/typical if null hypothesis is true, corresponds to 1.96sd from the mean
single sample z test
determes in a single sample mean differs from specified value (requires population sd), tells us if findings can be generalised to population, if z score above 1.96, reject null, if before, do not reject null

single sample t test
same as z test, used when sd not known, use sample sd instead of population, if t score not extreme for degrees of freedom, do not reject null, if extreme, reject

degree of freedom
sample size - 1 (used for t test)
research designs for independent t test
participants are assigned to multiple groups e.g control/treatment, do the groups have a difference?

independent groups t test
when comparing 2 groups that did same thing, determines if they are the same or extremely different, tells us if these results can be expected in population

repeated measures t test
one group completes thing over 2 time periods, determines if results are the same or extremely different, tells us if this can be expected in population

research designs for repeated measures t test
participants are measured on 2 or more occasions, is there change across time?

research designs for corrolation test
relationship between 2 variables, each participants provides 2 pieces of data, observation
corrolation r
determines if scores on 2 variables are related, and strength of observed findings, is there a linear and symetrical association (pos = both y/x increase)
strength of r
0.1 = weak, 0.3 = moderate 0.5 = strong