Plan Making and Implementation: Data and Statistics Flashcards
cross-sectional survey
A cross-sectional survey gathers information about a population at a single point in time. For example, planners might conduct a survey on how parents feel about the quality of recreation facilities as of today.
longitudinal survey
Over a period of time. Some cities conduct a citizen survey of service satisfaction every couple of years. This data can be combined to compare the differences in satisfaction between 1995 and 2005.
stratified sample
divides the population into groups, known as classes, from which a sample is drawn.
Inferential Statistics
determine characteristics of a population based on observations made on a sample from that population. We infer things about the population based on what is observed in the sample.
Nominal data
classified into mutually exclusive groups that lack intrinsic order. Race, social security number, and sex are examples of nominal data. Mode is the only measure of central tendency that can be used for nominal data.
Ordinal data
values that are ranked so that inferences can be made regarding the magnitude. no fixed interval between values. letter grade on a test, for example. Mode and median are the only measures of central tendency that can be used for ordinal data.
Interval data
data that has an ordered relationship with a magnitude. For temperature, 30 degrees is not twice as cold as 60 degrees. Mean is the best measure of interval data. Where the data is skewed median can be used.
Ratio data
has an ordered relationship and equal intervals. Distance is an example of ratio data because 3.2 miles is twice as long as 1.6 miles. Any form of central tendency can be used for this type of data.
Qualitative Variables
can be nominal or ordinal
Quantitative Variables
can be interval or ratio
Continuous Variables
can have an infinite number of values
Dichotomous Variables
only have two possible values, such as unemployed or employed which are symbolized as 0 and 1
Hypothesis Test
allows for a determination of possible outcomes and the interrelationship between variables.
Null Hypothesis
shown as H0 is a statement that there are no differences. For example, a Null Hypothesis could be that Traffic Calming has no impact on traffic speed.
An Alternate Hypothesis
designated as H1, proposes the relationship - Traffic Calming reduces traffic speed.
Variance
average squared difference of scores from the mean score of a distribution.Variance is a descriptor of a probability distribution, how far the numbers lie from the mean.
Standard Deviation
square root of the variance.
Coefficient of Variation
measures the relative dispersion from the mean and is measured by taking the standard deviation and dividing by the mean.
Standard Error
standard deviation of a sampling distribution. Standard errors indicate the degree of sampling fluctuation. The larger the sample size the smaller the standard error.
Confidence Interval
gives an estimated range of values which is likely to include an unknown population parameter. The width of the confidence interval gives us an idea of how uncertain we are about the unknown parameter.
Chi Square
non-parametric test statistic that provides a measure of the amount of difference between two frequency distributions. Chi Square is commonly used for probability distributions in inferential statistics.
z-score
a measure of the distance, in standard deviation units, from the mean. This allows one to determine the likelihood, or probability that something would happen.
t-test
allows the comparisons of the means of two groups to determine how likely the difference between the two means occurred by chance. needs the number of subjects in each group, difference btwn means of each group, and the standard deviation for each group.
ANOVA
It studies the relationship between two variables, the first variable must be nominal and the second is interval.
Correlation Coefficient
indicates the type and strength of the relationship between variables, ranging from -1 to 1. The closer to 1 the stronger the relationship between the variables. Squaring the correlation coefficient results in an r2
Regression
test of the effect of independent variables on a dependent variable. A regression analysis explores the relationship between variables.