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Standard Deviation and Student T Test
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Holly Bennett
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Cards (21)
Standard Deviation
A measure of the
spread
of
data
points from the
mean
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Large Standard Deviation
Indicates a greater variation
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Small Standard Deviation
Indicates a lesser variation
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Spread of the Data
Refers to the range of values around the mean
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Measure of Repeatability
Standard deviation
indicates how much
repeated measurements
differ
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Comparing Standard Deviations
Allows
for
comparison
of
variability
in
different datasets
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Displaying Data
Histograms
can be used to
compare
values
visually
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Calculating Standard Deviation
Involves
summing
the
squared differences
from the
mean
and taking the square
root
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Worked Example
Demonstrates the process of adding or subtracting the standard deviation to or from the mean
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Error
Bars
Represent
the
range
of
values
around a
data point
, indicating
uncertainty
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Adding Error Bars
Involves
adding
or
subtracting
one
standard deviation
from the
value
to show the
range
of
uncertainty
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Interpreting Error Bars
Indicates the
overlap
and
significance
of different test
outcomes
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Overlap
of
Standard Deviations
Indicates the
similarity
between
repeated measurements
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Student's T Test
A statistical test used to compare the means of two sets of data
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Null Hypothesis
States that there is no significant difference between the means of two datasets
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Unpaired Data
Data from two different groups being compared
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Normally Distributed Data
Data that follows a bell-shaped curve around the mean
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Comparing Distributions
Histograms
are used to determine the
normal distribution
of datasets
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Student's T Formula
Calculates the t-value to compare means and standard deviations
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Degrees of Freedom
The number of independent values used in the calculation of the t-value
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Critical Value
A threshold value used to determine the significance in a t-test
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