100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Samenvatting Wetenschappelijke Onderzoeksmethoden (INFOWO) $7.20   Add to cart

Summary

Samenvatting Wetenschappelijke Onderzoeksmethoden (INFOWO)

 57 views  2 purchases
  • Course
  • Institution

Alle stof voor het eindtentamen van WO

Preview 3 out of 19  pages

  • May 27, 2021
  • 19
  • 2020/2021
  • Summary
avatar-seller
SV WO Statistics

Lecture 1- Fundamentals I
Definition & usefulness
➢ Statistics: the study of the collection, organization and interpretation of data.
➢ To contribute to the accuracy and reliability of the evidence we argue for our ideas →
Organize and systematize information data (what happened in a study and communicate it to
others)
➢ To interpret research findings on the basis of numbers: Is there a systematic factor behind
observed differences?
➢ To help bring order out of chaos
What is measured
➢ Objects: things
o Concrete things: people, countries
➢ Properties: Characteristics of objects
➢ Measurements: indicants of properties (of objects)
Useful definitions
➢ Variable: A characteristic or condition that changes or has different
values for different individuals
➢ Data (plural): Measurements or observations. Data set is a collection of
data. Datum (singular) is a single measurement, often referred to as
score or raw score
➢ Descriptive statistics: Statistical procedures to summarize, organize and
simplify data
➢ Inferential statistics: Techniques that study samples and make generalizations about
populations from which the samples were selected
Measurement scales for variables
➢ Nominal
o A set of categories with different names. Comparison operation possible for:
(in)equality: “are two individuals different?
o Values are exhaustive and mutually exclusive
o Bv gender
o But does not specify: “how much different”: no “more than” or “less than”
➢ Ordinal
o A set of categories with different names and organized in ordered sequence (of size,
etc) Comparison operation possible for:
(in)equality: “are two individuals different?
o Order: “more than”, “less than
o Bv highest attained education (primary, high, uni)
o But does not specify: “how much larger” or “how much smaller
➢ Interval
o Ordered categories with in-between intervals of exactly the same size
o Comparison possible for:
▪ (in)equality: “are two individuals different?
▪ Order: “more than”, “less than”


1

, ▪ Distance/difference: “how much more than”/”less than”? (equal differences
between numbers on the scale mean equal differences in magnitude)
o No natural zero value! (= absence of)
o Bv temperatuur, age in categories
o Understand: Zero temperature on this scale does not mean absence of temperature
➢ Ratio
o Interval scale with absolute zero point (can have “zero amount of” type of variable)
allowing to measure ratios
o Comparison possible for:
▪ (in)equality: “are two individuals different?”
▪ Order: “more than”, “less than”
▪ Distance/difference: “how much more than”/”less than”? (equal differences
between numbers on the scale mean equal differences in magnitude)
o Bv gewicht (0 kilos of apples)
o Understand: An individual of 100 kilos (100 from zero) weighs twice as much as
some of 50 kilos → allows measuring ratios
o Has natural zero value, and no negative values!
Summarizing data
Descriptive measures:
➢ Frequency measurements
o Frequency distributions: Help us organize and present way data in a comprehensive
form; An “organized picture of the data”
o Can be presented as: Tables (quickly identify trends),
Pie charts, Graphs
▪ Frequency graph: A picture of the information
available on frequency table
• Absolute frequencies: Firefox: 21 (out
of 500)
• Relative frequencies: 0.042 (also:
proportion) 4.2% (also: percentage)
▪ Graph: Space between adjacent bars
• Visually emphasizing: nominal scale (scale has distinct categories) &
ordinal scale (cannot assume all categories to be of equal size)
▪ Histogram: No space between adjacent bars
• Visually emphasizing: Interval or ratio scale (all categories are of
equal size)
➢ Measure of location/central tendency
o The most common method of summarizing the distribution of some data is a
statistical measure called central tendency
o Purpose:
▪ Identify center of the distribution
▪ Identify best representative score
o You can think of central tendency as the “typical” individual score
o It is an example of “number crunching”:
▪ Take a distribution of many scores
▪ “Crunch” them down to a single value that describes them all
o Mean: Equilibrium or balance point of the distribution (average)



2

, ▪ Thinking of the mean as a balance point helps us visualize
how the distribution is affected when new scores are
added/subtracted
▪ 2 formulas for mean: population and sample
• Population: Set of all the individuals of interest in
a particular study. The size of the population is
usually denoted as: N. The mean µ is a parameter
of the population, and usually unknown.
• Sample: Selection of individuals from a population, usually to
represent the population in a particular study. The size of the sample
is usually denoted as: n. The mean X is a statistic, a value obtained
from the sample, which is used as an estimate for the unknown
population parameter.
o Median: Midpoint of the distribution. Insensitive with respect to ’outliers’ (contrary
to mean)
▪ The Median represents the “midpoint” of the scores in
a distribution when they are listed in order from
smallest to largest. Divides the groups into two groups
of equal size. 50% of scores above, 50% below
median (=50-th percentile P50). No symbol, simply
referred to as median. Same for sample and population
o Mode: Most frequently occuring value
▪ Bimodal/multimodal: more than one value is most
frequent
▪ Most common observation Score with highest
frequency No special notation, referred to as “mode”
Same for population and sample Only central
tendency metric that can describe nominal scale
values A distribution can have multiple modes
(bimodal/multimodal)
➢ Measure of spread/ dispersion / variability
o Variability: “How much” different are the scores of a
distribution and how much they are spread out or clustered
together
▪ Important statistical measure because:
• Describes the distribution
• Tells us how much error to expect when using a sample to represent
the population
o Range: Difference between largest and smallest score of
distribution
▪ Problem using range as measure of variability→
completely determined by the two extreme values and
ignores the other values in the distribution
o Variance: Average of the squared distances (deviations) from
the mean
o Degrees of freedom
▪ Number of scores in sample that are independent
and free to vary
▪ Degrees of freedom df = n − 1



3

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller IsabelleU. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $7.20. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

82871 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$7.20  2x  sold
  • (0)
  Add to cart