Quiz 3 Flashcards
(70 cards)
Statistic
An estimate of a population parameter
Parameter
A measured value of a population
Statistical population
The total group of entities that are being studied
Sample
A subset of the population that is measured to produce the statistic
Ways to show uncertainty
Standard deviation, standard error, confidence intervals
What does a 95% confidence interval mean?
There is a 95% chance that the interval contains the parameter, or if the experiment was repeated 100 times, 95% of the intervals would contain the parameter
Overlapping confidence intervals
No significant difference. Do not reject the null hypothesis
Non-overlapping confidence intervals
Significant difference. Reject the null hypothesis
Which is larger a 99% confidence interval or a 95% confidence interval?
The 99% confidence interval
Does a confidence interval grow or shrink as confidence increases?
Shrinks
Range
The difference between the largest and smallest value in a sample
Normal distribution
A distribution where the spread of data about the mean is approximately symmetric. The mean, median, and mode are the same value
In a normal distribution how much data is within one standard deviation of the mean
68%
In a normal distribution how much data is within two standard deviation of the mean
95%
Equation for variance
The sum of the difference between each value and the mean of the sample squared. Then divide by the number of measurements in the sample
Standard deviation equation
Square root of variance
What does standard deviation tell you?
The variation within the sample. Does not apply to the wider population
What does a confidence interval tell you?
A range of values for the parameter in the wider population
Preston’s Veil line
Rare species that are assumed to be present, but cannot be adequately sampled due to low abundance
Statistical power
The probability that a test will correctly reject a false null hypothesis
Three ways to increase statistical power
Increase sample size, decrease natural or sample variation, increase effect size
Power curve
Relationship between sampling effort and sample power. Tells you how many samples to take for most efficient resource use
P value
The probability that a difference as large as the observed results would occur if the null hypothesis was true
When do we reject the null hypothesis
When the P value is less than 0.05