dfhh Flashcards
(29 cards)
The value or range of values used to approximate a parameter is called an
estimate
Is the process used to calculate population parameters by analyzing only a small random sample from the population. (Closest)
ESTIMATION
- refers to a single value that best determines the true parameter value of the population.
POINT ESTIMATE
- gives a range of values within which the parameter value possibly falls.
INTERVAL ESTIMATE
an estimate is said to be unbiased when the expectation (i.e. the mean) of all the estimates taken from samples with size n is shown to be equal to the parameter being estimated
UNBIASEDNESS
is achieved when the estimate produced a relatively smaller standard error. This may be done by increasing the sample used to estimate the population parameter. As the sample size increases, the value of the estimator approaches the value of the parameter being estimated.
CONSISTENCY
from all the unbiased estimators of the population parameter, the efficient estimator is the one that gives the smallest variance.
EFFICIENCY
of a population parameter is a sample statistic used to represent the true value of a parameter, and you endeavour to find the “best” point estimate for a given parameter.
POINT ESTIMATION
A good decision that would influence us to use one estimator over another would be if the sample mean is equal to the population mean
This is known as UNBIASED ESTIMATOR
is a range (interval) of values that is likely to contain the true value of the parameter. An interval estimate is associated with the degree of confidence.
interval estimate
is a measure to determine if the population parameter is within the interval. Therefore, it describes the probability that corresponds to the two tails of the normal curve distribution.
degree of confidence (α)
Confidence levels correspond to probabilities (or percentages of area) associated with the normal curve. (t or f)
T
which is also called the maximum error of the estimate can be determined using the formula
E = zα/2 * σ/√𝑛:
MARGIN OF ERROR (E)
The process of making generalizations about the characteristics of the entire population through sample statistics.
HYPOTHESIS TESTING
Is a tentative presupposition or an inference made in order to predict the occurrence of a phenomenon.
HYPOTHESIS
Is a claim about the value of a population parameter or about the values of several population parameters.
STATISTICAL HYPOTHESIS
This is called the null hypothesis, denoted by
H₀
alternative hypothesis, denoted as
Hₐ
the assertion that contradicts the null hypothesis is called the
alternative hypothesis
The first of these is a statement of the value to which the population parameter is equal, such as the mean, which is presumed to be true.
null hypothesis
directional test, which is also called the
one-tailed test
the standard test used in many researches and it compares the population parameter in both directions (left and right) of the bell curve
nondirectional test, the two-tailed test
an English statistician who developed the t-distribution, which is used instead of the z-distribution for doing inferential statistics on the population mean when the population standard deviation is unknown and the population is normally distributed.
WILLIAM S. GOSSET
The t-distribution function is basically the same as the z-distribution function, the difference being only the replacement of the population standard deviation with the sample standard deviation ( T or F)
T