Mid Flashcards
Hypothesis
-states the tentative relationship between independent and
dependent variables, along with a prediction of the outcome.
-is a tentative prediction or explanation of the relationship
between two variables.
Null Hypothesis (Ho)
-Assumed to be true until there is evidence to suggest otherwise.
-Implies that there is no signicant difference between variables.
Alternative Hypothesis (Ha)
-This is the statement that one wants to conclude.
-Also called the research hypothesis.
Inferential Statistics
is the practice of using sample data to draw conclusions or
make predictions about larger sample or population.
Statistical significance
a determination of the null
hypothesis, which suggests that the results are due to chance
alone. A data set provides statistical significance when the pvalue is sufficiently small.
P value
is the probability of null hypothesis being true
• 5% - statistical significance level / α.
• probability that the null hypothesis is not true
• 95% - probability that the hypothesis is true
significance level.
Alpha (α) -the criterion for statistical significance that we
set for our analyses.
- When null is true, but was rejected.
- 0.05 is the commonly used significance level.
Types of Hypothesis Test
- One-tailed (or one-sided) test:
o Tests for the significance of an effect in only one
direction, either positive (Right-tailed) or negative
(Negative-tailed). - Two-tailed (or two-sided) test:
o Tests for the significance of an effect in both
directions, allowing for the possibility of a
positive or negative effect.
Logic of Hypothesis Testing
• To measure the variables involved,
• Examine the relationship between them and;
• Whether to reject or fail to reject the null
hypothesis.
Probability of Errors
Type I error (False Positive)
• If we reject the null hypothesis when it is true.
Type II error (False negative)
• If we failed to reject or incorrectly accepted the null
hypothesis when it is false.
Alpha (a)
• The probability of committing a Type I error.
• Also known as the significance level.
• α – null is true, but was rejected.
Probability
The branch of mathematics concerning events and
numerical descriptions of how likely they are to occur. In simple
words, probability is simply how likely something is to happen.
Any activity with an observable result.
Experiment
The result of the experiment.
Outcome
The set of all possible outcomes of an experiment
Sample space
The set of all possible outcomes of an experiment
Sample space
Event
A subset of the sample space
Normal distribution,
also known as the Gaussian distribution, is a probability distribution that
is symmetric about the mean, showing that data near the mean are more frequent in
occurrence than data far from the mean. The normal distribution appears as a “bell curve”
when graphed.
The standard normal distribution
also called the z-distribution, is a special normal distribution
where the mean is 0 and the standard deviation is 1