Significance and p-values
Theory
Interpretation of
a p-value
Learn more ..
The null hypothesis
p-value: The concept
Statistical significance
and p-values: Be careful!!
Binomial experiment
Expected sample mean
from a known distribution
Test on a sample
Comparing two groups
How many events are expected in
n
observations if the event has a probability
p
?
Probability of event (p)
Number of observations (n)
Number of events in a sample (x)
Test using R
binom.test(x,n,p,alternative="greater")
Expected sample mean
Population mean
Population sd
Observed sample mean
Sample size
Range for x values
Population parameters
\(\mu\)
\(\sigma\)
Sample size
New sample from population
Analysis
We evaluate if we can conclude that the population mean is different from \(\mu_0\) with the information of the sample obtained:
Test if the population mean is different from \(\mu_0\)
To learn more ....
Statistical significance (wikipedia)
Statistical significance and p-values
Confidence intervals simulations
(c) Albert Sorribas, Ester Vilaprino, Montse Rue, Rui Alves. Biomodels Grup, Departament de Ciencies Mediques Basiques. Universitat de Lleida, Institut de Recerca Biomedica de Lleida (IRBLleida