RESEARCH EXAM 3--ch 12 & 13 Flashcards
statistical analysis examples (2)
descriptive statistics and inferential statistics
o Used to DESCRIBE and synthesize data
descriptive statistics
o Used to make inferences/objective decisions about the population based on parameters using sample data
inferential statistics
descriptive indexes examples (2)
parameter
statistic
o A descriptor for a population
The average or percentage of age of menses for American females
parameter
o A descriptor for a sample, a descriptive index
o the average age of menses for female professors at MSU
statistic
ϖ A systematic arrangement of numeric values on a variable from lowest to highest, and a count of the number of times (and/or percentage) each value was obtained or has occurred
freq. distributions
freq. distributions can be presented in which 2 ways
a table
graphically (frequency polygons)
freq distributions can be described in terms of:
shape
central tendency
variability
− When folded over the two halves of a frequency polygon would be superimposed
MIRROR IMAGES OF EACH OTHER
symmetric shape
− Peak is in the center and one tail is longer than the other
skewed (asymmetric)
long tail drifts off to the right
− Positive skew
− long tail drifts off to the left
negative skew
of peaks
modality
1 peak
unimodal
2 peaks
biomodal
2+ peaks =
multimodal
normal distribution = what shape
bell-shaped curve
characteristics of normal distribution (bell shaped curve)
♣ Symmetrical
♣ Unimodal (1 peak)
♣ Not very peaked, not too flat
normal distribution (bell shaped curve) are an important distribution in _____ statistics
inferential
• Indexes of “typicalness” of a set of scores that comes from CENTER of the distribution
central tendency
Researchers avoid using the term “average” because there are three indexes of central tendency:
• the mode, the median, and the mean
most frequent
mode
the point in a distribution (middle) above which and below which 50% of cases fall
median
NOMINAL MEASURES
• equals the sum of all scores divided by the total number of scores
mean
SKEWED DISTRIBUTION
o Useful mainly as gross descriptor, especially of nominal (e.g., gender) measures
MODE
o Useful mainly as descriptor of typical value when distribution is skewed (household value)
median
♣ Preferred when a distribution is highly skewed
median
o Most stable (best) and widely used indicator of CENTRAL TENDENCY
mean
o the Mean Can do a lot of further analysis such as calculating _____ statistics
inferential statistics
• The degree to which scores in a distribution are spread out or dispersed – how scattered numbers are
variability
− Used to describe one variable at a time
univariate
o Little variability
homogeneity
TALLER AND SKINNIER TABLE
great variability
heterogeneity
WIDER AND SHORTER TABLE
• Indexes of variability describes how different the scores were such as homo or heater variability by using what 2 things:
range and SD
o Highest value minus lowest value
range
o Average amount of deviation (variability) of values from the mean
standard deviation (SD)
o _____ the number in the standard deviation, the more variable the sample’s variables were
Bigger
o tells use how much, on average, the scores deviate from the mean
SD
o In a normal distribution, 95% of the scores fall within
2 SDs of the mean
ϖ Used for describing the relationship between TWO variables
don’t answer research questions
Bivariate Descriptive Statistics
2 common approaches for bivariate descriptive statistics
crosstabs and
correlation coefficients
crosstabs =
contingency tables
• A two-dimensional frequency distribution; frequencies of two variables are
cross-tabulated
at intersection of rows and columns display counts and percentages
• “Cells”
crosstab variables are usually ____ or _____
nominal or ordinal
o whether there is a relationship between smoking and sex)
crosstabs
• Indicate direction and magnitude of relationship between two variables
o CORRELATION COEFFICIENTS
The most widely used correlation coefficient is
Pearson’s r
Pearson’s r is used when
• both variables are interval or ratio-level measures
• Correlation coefficients can range from
-1.00 to +1.00
the higher the correlation coefficients the ____ the relationship
stronger
− Negative (inverse) relationship ranges from?
(0.00 to -1.00)
♣ One variable increases in value as the other decreases
e.g. amt of exercise and weight
Negative (inverse) relationship