Samenvatting
Summary Statistics for BME (WBBE025-05)
Summary of all the Statistics for BME lectures, including SOWISO content.
[Meer zien]Voorbeeld 3 van de 30 pagina's
Voorbeeld 3 van de 30 pagina's
In winkelwagengesponsord bericht van onze partner
Verkoper
Volgen
Voorbeeld van de inhoud
Chapter 1 ................................................................................................................................................ 3Types of data and measurement ........................................................................................................ 3
Frequency distributions...................................................................................................................... 3
Measures of central tendency ............................................................................................................ 5
Measures of variability ....................................................................................................................... 5
Chapter 2 ................................................................................................................................................ 7
Correlation.......................................................................................................................................... 7
Chapter 3 ................................................................................................................................................ 7
Randomness ....................................................................................................................................... 7
Relationships between events ........................................................................................................... 7
Probability .......................................................................................................................................... 8
Chapter 4 ................................................................................................................................................ 9
Probability models.............................................................................................................................. 9
Random variables ............................................................................................................................... 9
Common distribution ....................................................................................................................... 10
Chapter 5 .............................................................................................................................................. 12
Sampling and sampling methods ..................................................................................................... 12
Sampling distributions ...................................................................................................................... 12
Chapter 6 .............................................................................................................................................. 13
Parameter estimation and confidence intervals .............................................................................. 13
Confidence interval for the population mean .............................................................................. 14
Confidence interval for the population proportion ..................................................................... 14
Chapter 7 .............................................................................................................................................. 15
Introduction to hypothesis testing (p-value approach) .................................................................... 15
Hypothesis test for a population proportion.................................................................................... 18
One-sample t-test............................................................................................................................. 19
Chapter 8 .............................................................................................................................................. 20
Paired samples t-test ........................................................................................................................ 20
Independent samples t-test ............................................................................................................. 21
Independent proportions z-test ....................................................................................................... 22
Chapter 9 .............................................................................................................................................. 23
Simple linear regression ................................................................................................................... 23
Multiple linear regression ................................................................................................................ 24
Chapter 9.1 ........................................................................................................................................... 25
Simple linear regression ................................................................................................................... 25
Chapter 11 ............................................................................................................................................ 26
Chi-square goodness of fit test......................................................................................................... 26
Chi-square test for independence .................................................................................................... 27
,Chapter 11 ............................................................................................................................................ 28
One-way analysis of variance ........................................................................................................... 28
2
, Chapter 1
Types of data and measurement
• A qualitative variable is non-numerical or categorical in nature, meaning names or labels are
used to classify observations into different categories.
• A quantitative variable is numerical in nature and is measured through acts of counting or
with the use of measurement instruments.
• A discrete variable can either take on a finite number of values or can take on infinitely many
values that can be labeled with numbers (e.g., 0,1,2,3…)
• A continuous variable can take on any value in one or more intervals.
The complete set of categories or values that are used to differentiate between observations is called
the scale of measurement. There are a total of four different scales to consider:
Nominal and ordinal scales are qualitative scales, interval and ratio are quantitative scales.
Direction Direction of the Size of the Calculate ratios
differences (=, ≠) difference (>, <) difference (+, -) (×,÷)
Nominal Yes No No No
Ordinal Yes Yes No No
Interval Yes Yes Yes No
Ratio Yes Yes Yes Yes
Frequency distributions
• A frequency distribution organizes a sample by ordering the observations from lowest to
highest score and grouping together all observations with the same score. There are three
important properties:
- Centrality refers to what a typical or average score looks like.
- Variability relates to whether the scores are clustered together or spread out evenly.
- The shape of the distribution is related to the degree to which a distribution is either
symmetrical or skewed.
• The absolute frequency of a score is the number of times that particular score occurs in the
dataset and is denoted by lowercase 𝑓.
• The relative frequency of a score is the absolute frequency of that score divided by the total
(
number of scores in the dataset and is denoted 𝑓!"#$%&'" . ( 𝑓!"#$%&'" = ) )
• To transform a relative frequency into a percent frequency, multiply the relative frequency
by 100%. Percent frequencies are denoted %𝑓.
• The cumulative frequency of a score is the number of scores that have a value at or
below the score in question and is denoted 𝑐𝑓.
• The cumulative relative frequency is the proportion of scores that have a value less than or
*(
equal to the score in question and is denoted 𝑐𝑓!"#$%&'" . ( 𝑐𝑓!"#$%&'" = ) )
• The cumulative percent frequency is the percentage of scores that have a value less than or
equal to the score in question and is denoted 𝑐%. ( 𝑐% = 𝑐𝑓!"#$%&'" • 100% )
A bar chart is used to display the frequencies of qualitative data.
A histogram is used to display the frequencies of quantitative data.
The graph of a cumulative frequency distribution is called an ogive.
3
Voordelen van het kopen van samenvattingen bij Stuvia op een rij:
Verzekerd van kwaliteit door reviews
Stuvia-klanten hebben meer dan 700.000 samenvattingen beoordeeld. Zo weet je zeker dat je de beste documenten koopt!
Snel en makkelijk kopen
Je betaalt supersnel en eenmalig met iDeal, creditcard of Stuvia-tegoed voor de samenvatting. Zonder lidmaatschap.
Focus op de essentie
Samenvattingen worden geschreven voor en door anderen. Daarom zijn de samenvattingen altijd betrouwbaar en actueel. Zo kom je snel tot de kern!
Veelgestelde vragen
Wat krijg ik als ik dit document koop?
Je krijgt een PDF, die direct beschikbaar is na je aankoop. Het gekochte document is altijd, overal en oneindig toegankelijk via je profiel.
Tevredenheidsgarantie: hoe werkt dat?
Onze tevredenheidsgarantie zorgt ervoor dat je altijd een studiedocument vindt dat goed bij je past. Je vult een formulier in en onze klantenservice regelt de rest.
Van wie koop ik deze samenvatting?
Stuvia is een marktplaats, je koop dit document dus niet van ons, maar van verkoper srav. Stuvia faciliteert de betaling aan de verkoper.
Zit ik meteen vast aan een abonnement?
Nee, je koopt alleen deze samenvatting voor €6,49. Je zit daarna nergens aan vast.
Is Stuvia te vertrouwen?
4,6 sterren op Google & Trustpilot (+1000 reviews)
Afgelopen 30 dagen zijn er 64438 samenvattingen verkocht
Opgericht in 2010, al 14 jaar dé plek om samenvattingen te kopen