Concepts (CH 3): Statistical Concepts and Market Returns Flashcards
refer to data and to the methods used to analyze data
statistics
what are the two statistical methods
descriptive & inferential
used to summarize the important characteristics of a large data set
descriptive
procedures used to make forecasts, estimates, or judgements about a large set of data on the basis of the statistical characteristics of a smaller set (a sample)
inferential
set of all possible members of a stated group
population
subset of the population of interest
sample
What are the types of measurement scales
nominal scales, ordinary scales, interval scales, ratio scales
observations are classified/ counted in no particular order (least information)
nominal scales
- higher level of measurement than nominal scales
- every observation is assigned to one of several categories
- categories are ordered with respect to a specified characteristic
ordinary scales
- provides relative ranking, like ordinary scales
- differences between scale values are equal
interval scales
What is the weakness of the interval scale?
measurement of zero (0) does not necessarily indicate the total absence of what is being measures
- most refined level of measurement
- provides ranking and equal differences
between scale values - have a true zero point as origin
ratio scales
measure used to describe a characteristic of a population
PARAMETER
measures characteristic of a sample
SIMPLE STATISTIC
- tabular presentation of statistical data that aids the analysis of large data sets
- summarizes statistical data by assigning
it to specified groups, or intervals
- data employes with a frequency distribution may be measured using any
type of measuryment scale
FREQUENCY DISTRIBUTION
in a frequency distribution, it is the interval with the greatest frequency
modal interval
- useful way to present data
- percentage of total observations falling within each interval
RELATIVE FREQUENCY
sum of the absolute or relative
frequency starting at the lower interval and progressing through the highest
CUMULATIVE ABSOLUTE FREQUENCY/CUMULATIVE RELATIVE FREQUENCY
- graphical presentation of the absolute
frequency distribution - bar chart of continuous data
- allows us to see where most
observations are concentrated
HISTOGRAM/FREQUENCY POLYGON
- the midpoint of each interval is plotted on the horizontal axis and the absolute frequency for that interval is plotted on the vertical axis
- points are connected with a straight line
frequency polygon
- identify the center, or average of a data set
- can be used to represent the typical or expected value in the data set
measures of central tendency
all observed values in the population are summed and divided by the number of observations in the population
population mean
sumofallthevaluesinasampleofa population divided by the number of observations in the sampler
sample mean
- most widely used measure of central tendency
- only measure of central tendency for which the sum of the deviations from the mean is zero (0)
ARITHMETHIC MEAN