Degrees of Freedom
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the actual amount of variability in the sampling distribution of 't' depends
on the sample size 'n'.
The standard deviation of the sample distribution decreases as the sample size
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increases
Quantitative factors
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measured on a numerical scale
Parameter
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Numerical description measure of a population (almost always unknown)
Completely randomized design
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a design in which the experimental units are randomly assigned to the k
treatments or in which independent random samples of experimental units
are selected from each treatment
(- Experimental units (subjects) are assigned randomly to treatments
- Subjects are assumed homogeneous
- One factor or independent variable --Two or more treatment levels or
classifications
-Analyzed by one-way Analysis of Variance (ANOVA)).
What's the general guideline for the normal distribution to be justified?
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, n is greater than or equal to 30
Confidence Level
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the confidence coefficient expressed as a percentage.
Example: if our confidence level is 95%, then in the long run, 95% of our
confidence intervals will contain μ and 5% will not
Single-factor experiments
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the treatments were levels of a single factor, with the sampling of
experimental units performed using either a completely randomized or a
randomized block deisng.
Test Statistic
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a sample statistic, computed from information provided in the sample, that
the researcher uses to decide between the null and alternative hypotheses
Conditions Required for a Valid Large-Sample Hypothesis Test for µ
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1. A random sample is selected from the target population.
2. The sample size n is large (i.e., n ≥ 30). (Due to the Central Limit Theorem,
this condition guarantees that the test statistic will be approximately normal
regardless of the shape of the underlying probability distribution of the
population.)
p-value < alpha:
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Reject the null
Large sample
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sample being of sufficiently large size that we can apply the CLT and the
normal (z) statistic to determine the form of the sampling distribution of x-
bar.
note: the large-sample interval estimator requires knowing the value of the
population standard deviation, σ. (in most business cases however, σ is
unknown)
If the mean of the sampling distribution is not equal to the parameter, the statistic is
said to be a ____ _____ of the parameter
Give this one a try later!
Give this one a try later!
the actual amount of variability in the sampling distribution of 't' depends
on the sample size 'n'.
The standard deviation of the sample distribution decreases as the sample size
Give this one a try later!
increases
Quantitative factors
,Give this one a try later!
measured on a numerical scale
Parameter
Give this one a try later!
Numerical description measure of a population (almost always unknown)
Completely randomized design
Give this one a try later!
a design in which the experimental units are randomly assigned to the k
treatments or in which independent random samples of experimental units
are selected from each treatment
(- Experimental units (subjects) are assigned randomly to treatments
- Subjects are assumed homogeneous
- One factor or independent variable --Two or more treatment levels or
classifications
-Analyzed by one-way Analysis of Variance (ANOVA)).
What's the general guideline for the normal distribution to be justified?
Give this one a try later!
, n is greater than or equal to 30
Confidence Level
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the confidence coefficient expressed as a percentage.
Example: if our confidence level is 95%, then in the long run, 95% of our
confidence intervals will contain μ and 5% will not
Single-factor experiments
Give this one a try later!
the treatments were levels of a single factor, with the sampling of
experimental units performed using either a completely randomized or a
randomized block deisng.
Test Statistic
Give this one a try later!
a sample statistic, computed from information provided in the sample, that
the researcher uses to decide between the null and alternative hypotheses
Conditions Required for a Valid Large-Sample Hypothesis Test for µ
, Give this one a try later!
1. A random sample is selected from the target population.
2. The sample size n is large (i.e., n ≥ 30). (Due to the Central Limit Theorem,
this condition guarantees that the test statistic will be approximately normal
regardless of the shape of the underlying probability distribution of the
population.)
p-value < alpha:
Give this one a try later!
Reject the null
Large sample
Give this one a try later!
sample being of sufficiently large size that we can apply the CLT and the
normal (z) statistic to determine the form of the sampling distribution of x-
bar.
note: the large-sample interval estimator requires knowing the value of the
population standard deviation, σ. (in most business cases however, σ is
unknown)
If the mean of the sampling distribution is not equal to the parameter, the statistic is
said to be a ____ _____ of the parameter
Give this one a try later!
