Methods and stats Flashcards
what are the four levels of measurement
N - nominal
O - ordinal
I - interval
R - ratio
Nominal
- what type of data
- what type of stats
qualitative data
categorical
named
mode as would tell us which of the categories is the most commonly occurring
Ordinal
- what type of data
- what type of stats
quantitative
numbers have an ordered relationship
numbers indicate position on a list
eg first, second, third
differences between adjacent scores do not represent equal quantities
the median, range and interquartile range are appropriate as these measurements are based on position
Interval and ratio
- what type of data
- what type of stats
quantitative
numbers say what they mean - numeric properties are literal
interval as no absolute zero
the mean, standard deviation and standard error are appropriate descriptive stats
ratio as there is an absolute zero
what is parametric data
- The scores (the DV) must be at an interval or ratio scale.
- The data must be normally distributed.
- The groups must have homogeneity of variance (similar variances).
what are non-parametric tests
tests that make few or no assumptions about the shapes underlying the population distribution
also known as distribution free tests
can be used on low level data such as ranked data
parametric tests often have a non-parametric equivalent
is this test parametric or non-parametric?
chi-squared
non-parametric
is this test parametric or non-parametric?
Spearman’s Rho
non-parametric
is this test parametric or non-parametric?
paired samples t-test
parametric
is this test parametric or non-parametric?
independent samples t-test
parametric
is this test parametric or non-parametric?
Wilcoxon T-test
non-parametric
is this test parametric or non-parametric?
Mann-whitney U test
non-parametric
is this test parametric or non-parametric?
Pearson’s correlation coefficient
parametric
pair up the seven tests with their parametric / non-parametric equivalents
chi-squared & n/a
Wilcoxon T-test & paired samples t-test
Mann-Whitney U test & independent samples t-test
Spearman’s Rho & Pearson’s correlation coefficient
advantages of non-parametric tests
analyses can be simplistic and easier to complete
useful for data on nominal or ordinal scales
can be used with small sample sizes
useful if data violates the assumption of normality
useful if data is severely skewed or has outliers
makes fewer assumption so tests can be more robust
disadvantages of non-parametric tests
less powerful, typically only make use of ordinal information only. as such large sample sizes may be needed to find significance
due to having to assign ranks, analyses can be annoying if sample size is very large
utilitarianism
what who
where/ how is it in practice
but…..
the greatest happiness principles
Jeremy Bentham (1748-1832)
John Stuart Mill (1806-1873)
hedonic calculus
constrained utilitarianism - human and animal research based on cost-benefit analysis, but with absolute limits defining acceptable practices
but what are the limits of acceptability? who decides?
who are the professional codes of conduct for psych
American psychological association
british psychological society
society for neuroscience
world medical association (including BMA) - the declaration of Helsinki
examples of why we should worry about human research
military studies in Nazi Germany Tulane - heath curing homosexuality tuskgee syphilis study zimbardo milgram and asch social conformity study the 'unfortunate experiment' NZ
ethics in human research - key points (8)
informed consent motivation for being a subject degree of risk or personal harm right to withdraw confidentiality - data protection act protection of participants debriefing follow-up procedures to detect and mitigate any lasting adverse effects
who reviews our ethics
at university - school ethics committee and UTREC (university teaching and research ethics committee)
ethics of research on animals - why worry? key points (5)
invasiveness behaviour manipulations field work housing conditions genetic manipulations
viewpoints on animal research and their weaknesses
absolute anti-research
ethical status of animals = humans
weakness
unreasonable conclusions
removes limits to ‘direct action’, actually requires it
failure to recognise human awareness (Singer)
what is direct action
terrorism staff firebombed, kidnapped, threatened with murder
viewpoints on animal research and their weaknesses
absolute pro-research
animals as tools, objects
weakness
unreasonable conclusions - kill all dogs for one human? animal ownership rather than stewardship
failure to recognise inherent worth of animals
modelling paradox for human disease - to the extent animals are not like humans, then they are poor models. to the extent that they are like humans, then we should not use them
animal research in the UK
2007
3.2 million procedures
by comparison 10 million cats in the UK kill 300 million animals and 2.5 billion fish and animals are consumed in the UK
ethical conduct of research key point (5)
plagiarism intellectual honesty and data analysis determining authorship conflicts of interest relationship with the media
what does Wilcoxon T-test do
establish if there is a change from one condition to the next
Wilcoxon T-test
what type of data
non-parametric (is the equivalent of paired samples t-test)
data must be at the ordinal scale or higher
what does the Wilcoxon T-test tell us
gives us information about the direction and magnitude of the difference between pairs of scores
steps in carrying out Wilcoxon T-test
- First describe the two data sets by calculating the median or mean (this depends on the type of data you have collected - for ordinal data use the median and for interval or ratio data use the mean)
- Calculate the difference between the two conditions (D = X1 – X2).
- Assign ranks to these differences ignoring the plus and minus signs and omitting any pairs of scores with a difference score of zero.
- Add back in the plus and minus signs to each rank. Add up the ranks with plus signs and then add up the ranks with minus signs. The smaller of these two values is your T value.
- Look up the critical value in the table (p.66) according to your N (omitting pairs of scores with a difference score of zero). If your T value is EQUAL TO OR LESS THAN the critical value you have significance.
- Report your Wilcoxon statistic as: T(n) = X, n.s. OR T(n) = X, p<0.05
what are the two types of Chi-squared
goodness of fit - deals with nominal data (so data is categorized)
test of association - two or more groups
Chi-squared goodness of fit - info
examines one nominal variable and looks at how participants are allocated to different categories within that variable
deals with frequency of scores in each category
categories must be mutually exclusive - independent
we are looking at the distribution of observed frequencies compared to expected frequencies
how good is the fit between the observed and expected frequencies
there are two possible null hypotheses
Chi-square goodness of fit hypotheses
null hypotheses
in general: that there is no difference between the distribution of our observed frequencies and the expected frequencies
1 - the population is evenly distributed across the categories (as you would expect by chance). there is no preference for one category over another
2 - the proportions in each category do not differ from a comparison population that has published expected frequencies
alternative hypothesis - there is a difference between the distribution of our observed frequencies and the expected frequencies - no specific prediction so two-tailed
how to carry out Chi-squared goodness of fit
draw a contingency table (table with categories, observed and expected frequencies)
1 - calculate expected frequencies
2 - record observed frequencies
3 - calculate Chi-squared
4 - check significance with degrees of freedom
5 - interpret results
degrees of freedom in Chi-squared goodness of fit
= number of categories - 1
when to use Chi-squared test of association
two nominal variables and want to know if they are associated
hypotheses in Chi-squared test of association
null - that two nominal variables are not associated (two nominal variables are independent
alternative hypothesis - that two nominal variables are associated