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Statistics Summary - Radboud University, IBC, Year 2

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An extensive summary of the Statistics course, explaining everything that is needed for the exam: validity -vs- reliability, the five dispersions, z-scores, central limit theorem, confidence intervals, type I and type II errors, boxplots, t-tests, correlations, ANOVA, post hoc tests, Chi-squares etc. Includes lots of graphs, colours, and explanations to make the topics clear and to give a good overview of everything that needs to be learned.

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Summarized whole book?
No
Which chapters are summarized?
Chapters 1-5, 8, 10, 12, 19
Uploaded on
October 21, 2019
File latest updated on
October 27, 2019
Number of pages
26
Written in
2018/2019
Type
Summary

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Chapter 1 – Why is my evil lecturer forcing me to learn statistics?
(Lecture 1)

The research process


1. Initial observation: Research question
- Find something that needs explaining
(real world/other research)
- Test the concept: collect data and define variables


Types of data analysis
- Quantitative -vs- Qualitative




2. Generating and testing theories
Theories
-> an hypothesised general principle that explains
known finding about a topic and from which new
hypotheses can be generates.

Hypothesis
-> a testable prediction from a theory

Falsification
-> the act of disproving a theory or hypothesis


Two hypotheses

➔ Null hypothesis
-> precisely the opposite of the actual hypothesis (falsify this!)
-> The null hypothesis always contains the = sign
➔ Alternative hypothesis
-> what the actual hypothesis is


Null hypothesis and alternative hypothesis are always mutually exclusive

,3. Collective data: how to measure

➔ Variables
Independent variable
‘cause’, manipulated
Dependent variable:
‘effect’
Predictor variable:
thought to predict an outcome variable (independent)
Outcome variable:
dependent on the predictor variable



➔ Levels of measurement


Mean / Median / Mode



Mean / Mode

Mode




➔ Measurement error
‘the discrepancy between the actual value we’re trying to measure, and the number
we use to represent that value (=measured value)’

➔ Validity and reliability

Validity – does the instrument measure accurately?

Criterion validity – the degree to which a test actually measures behaviour
o Concurrent validity – correlation with other valid instrument
o Predictive validity – when data from the new instrument are used to predict
observations
Content validity – the degree to which the content of a test corresponds to the
content of the construct measured
Ecological validity – evidence that the results of a study, experiment of test can be
applied and allow inferences, to real-world conditions


Reliability - ability of the measure to produce the same results under the same
conditions (re-test, internal reliability, intercoder/observer reliability)
A measure is not valid if it is not reliable

, ➔ Correlational research
observe what naturally goes on in the world without directly interfering with it.
BUT: statements about causation cannot be made

➔ Experimental research
one or more variable is systematically manipulated to see their effect
AND: statements about the cause and effect can be made




➔ Methods of data collection
1. Between – subject
2. Within – subject

➔ Types of variation
Systematic variation (=effect) -> experimental manipulation
Unsystematic variation (= noise)

➔ Randomisation and Counterbalancing
= changing the order in which a person participates in a condition
1. Practice effects: participants preform differently in 2nd round due to practice
2. Boredom effects: participants perform differently in 2 nd round due to boredom
-> minimises unsystematic variation




4. Analysing data
1. Frequency distributions (aka histograms)
2. The normal distribution
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