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Stat & Prob SEMI-FINALS S2
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N -
Population Size
sample
-
representative
portion of the population
n - Sample size
Element
or
sampling unit
- Each member in the sample unit
random sampling
- each member of the population has a nonzero chance to be selected as a subject
Simple Random Sampling
- used if all the units in the population are homogenous.
Lottery
Method
- each member of the population is assigned a unique number
Sampling with replacement
- upon selecting a unit at random from the population, the unit is returned to the population.
Sampling without replacement
- the unit selected at random from the population is not included in the next Selection.
Systematic Sampling
- , the sampling interval k is determined by getting the quotient of population size N and sample size n.
stratified sampling
- used if the population is not homogeneous.
Cluster sampling
- used if the population is very large.
Multi-stage Sampling
- the population is divided into hierarchy of units, and sampling is done successively.
Parameter
- a number that summarizes the data from an entire population.
statistic
- a number summarize the data from a sample.
statistical Hypothesis
- a statement regarding an unknown population parameter.
null
Hypothesis
- the hypothesis being tested.
Alternative Hypothesis
- the operational statement of the conjecture that the proponent believes to be true and wishes to investigate.
Alternative hypothesis
- It is a statement contradictory to the mll hupothesis.
statistical test
- is done to make a decision whether the null hypothesis should be rejected or not.
The numerical value obtained from a statistical test is called the
test statistic
Type 1 Error
- the error of rejecting the null hypothesis when in fact it is true
Туре
II
Error
- a type Il error is the error committed when we decide not to
reject
the mull hypothesis when in reality the null hypothesis is fake.
Power of the test
- The probability of not committing a Type I error
In statistics, the word "
significance
" means " not by chance" or
"probably true".
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