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Lecture Notes For T Tests & Non Parametric Tests

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The note provides a concise explanation of parametric tests, focusing on the t-test and its variations. It highlights the purpose and applications of one-sample t-test, independent samples t-test, and paired samples t-test in analyzing data. Additionally, it briefly explains non-parametric tests, specifically mentioning the Mann Whitney U test and the Wilcoxon T test, along with their roles in statistical analysis.

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Comparing Means: the t-test

Parametric Tests are statistical methods one sample T Test is a statistical test

Parametric Test used to analyse data that assumes a used to determine if the mean of a single
Definition specific distribution and used to compare sample is significantly different from a
means or relationships between variables known or hypothesised population mean


T- Test is a statistical method used to formula + = x - µ SPSS: analyse >
SD
determine if there is a significant diff­ compare means >
T-Test erence between the means of two groups
*
Definition

t =
difference in (sample) means
Independent Samples T-Test is a stati­
Standard error of the difference in
sample, means is E)
stical test used to compare the means
of two independent groups to determine
The T- Distribution is a probability distr­ if there is a significant difference betw­ Samples T-Test
Variations
ibution used in statistics to estimate een them
T-Distribution population parameters when the sample
Definition size is small or the population standard formula t= x, - x.
SPSS: analyse >
SE x.-22
deviation is unknown compare means >


Degree's of Freedom refer to the number Paired samples T-Test is a statistical
Df Definition of independent values or quantities that test used to compare the means of two
can vary in a statistical analysis related groups


The Confidence Interval is a range of formula t = "d SPSS: analyse >
Confidence Interval values that contains the true population N + q (Id)²
compare means >
N-1
parameter




Non-Parametric Tests Mann Whitney U is a test used to compare
two independent groups to determine if there
Non Parametric Tests are statistical methods is a significant difference between their dist­
used when data does not meet assumptions of ributions
parametric tests UA Na ⅓ + Na I Na + 1)
RA
2
formula sum of ranks

UB Na NB + NB I No + 1) RB

Continuous Variables what? Ranked Variables 2
sample size




pearson's r associa o n / spearman's p SPSS: analyse > non parametric tests > legacy
correlation
dialogs > two independent samples
unpaired t-test compare two
groups yawn. %::&"
Wilcoxon T is a statistical test used to compare
paired t-test compare two wilcoxon's t two related samples and assesses if the medians
measures
of the two groups are significantly different

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Uploaded on
May 25, 2024
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Written in
2023/2024
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Klara
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