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52 Cards in this Set

  • Front
  • Back

What are 2 types of statistics?

Descriptive and inferential

What is descriptive statistics?

Procedures/tools to describe individual variables and relationships between variables; baseline demographic characteristics of population

What tools are employed in descriptive statistics?

Means, standard deviation, normal distribution, Z scores

What are inferential statistics?


What do they allow?

Procedures used to analyze data after an experiment is completed and to determine if and independent variable has a significant effect.




The making of extrapolations from a sample to greater population.

What are 3 levels of measurement used in descriptive statistics?

1. Nominal


2. Ordinal


3. Ratio

What is nominal level measurement?


What are 3 examples?

No underlying continuum; arbitrary values assigned to discrete categories




Religious affiliation, gender, political party

What is ordinal level measurement?


What is an example?

Underlying continuum; values ordered but intervals are not equal; ranking system




Community size (100-500 [1], 501-2000 [2], etc.)



What is ratio level measurement?


What are 3 examples?

Underlying continuum and a zero value that aligns with true zero; equal intervals




Weight, age in years, income

What is central tendency?

Simple statistics that typify a set of values

What are the 3 measures of central tendency?

1. Mean


2. Median


3. Mode

What is a mean?


How is it calculated?


What level of measurement is used?

Average




Summing values and dividing by total number of cases




Ratio level data

What is a median?


How is it calculated?


What level of measurement is used?

Middle most value; one half of cases above and other half below value




Ordering set of values and taking middle number


-if even no, divide middle two and take mean


-if odd, take middle number




Ratio and ordinal level data





What is a mode?


How is it calculated?


What level of measurement is used?

The most frequently occurring value




Category of a variable with the most cases




Ratio, ordinal and nominal level data

What do measures of dispersion describe?


What are the 3 types?

The variability of measures; dispersion around mean




1. Range


2. Standard deviation


3. Variance

What is range?


How is it calculated?


What is 1 example?

Indicates the highest and lowest values




Subtracting lowest from highest value




Seniors in study range from 65 to 94; 29 year age range

What is standard deviation?


What level of measurement is used?


What is it related to?


If the sd is smaller, what does this indicate?



Average amount of deviation from the mean value in a set of values




Ratio level data




Normal distribution curve




Less variability in the dependent variable

What is variance?


How is it calculated?


What level of measurement is used?

A single number that represents the total amount of variation in a distribution




Squaring the standard deviation




Ratio level data

What does standardizing the data allow?


What is 1 example?

Comparisons between units of different sizes; relative rank based on standardization




Suicide rates in different provinces


-9.90/100,000 ppl in Ontario


-32.46/100,000 ppl in NWT

What are the 5 types of standardized data?

1. Proportions


2. Percentages


3. Percentage change


4. Rates


5. Ratios

What are proportions?


What do they range from?


Can be used in place of what?

A standard method of designating a portion of a total




.00 to 1.00




Percentages

What are percentages?


How are they calculated?


What do they represent?

Denote probability by converting proportions to percentages




Proportion x 100 = %




How often something happens per 100 times

What is percent change?


How is it calculated?


What type of study is it important for?


What level of measurement?

A measure of how much something has changed over a given time period




(Time 2 - Time 1) / Time 1 x 100




RCTs




Ratio level data

What are rates?


Incidence per____ or _____


What is 1 example?

The frequency of something for a standardized sized unit




1000 or 10000 (can also be 100000)




104 suicides in a pop. of 757, 465


SR= 104/ 757, 465 x 100, 000 = 13.73


13.73 suicides per 100, 000

What are ratios?


What is 1 example?

Represent a comparison of one thing (rates) to another




200 burglaries per 100, 000 in the US compared to 57 per 100, 000 in Cad, the US/Cad ratio is:


US/Cad = 200/57 = 3.51


US rate 3.5x higher than Cad

What is normal distribution?


What are 3 other terms for it?


What concept is it based on?

A symmetrical, bell-shaped distribution with half the scores above and half below the mean




Normal curve, bell curve, Gaussian distribution




As the number of scores in a sample increases, the scores approximate a more normal distribution (closer to the mean)

Can have a ____ or ____ skewed distribution


Can you perform stats on skewed data?


What would have to be done in order to?

Plus or minus




No




Transformation: mathematical redistribution; logarithm

What 3 factors will remain the same in a normal distribution?


How do you measure distances from the mean?

Mean, median, mode




Standard deviation units

How many cases will be +/- 1 sd of the mean?


+/- 2 sd?

2/3 of cases 68.2%




95.6%

What is a Z score?


What is the formula?


What is the range?

A standardized score that represents the distance above or below the mean, in sd units, of


any raw value in a distribution




Z = [X (observation) - Xx (mean)]/ sd




+3 to -3

If the sample mean income is $65K and the sd is $22K and a participant has a Z score of +1.43, how much do they earn?

1.43 x $22, 000 = $31, 460


$31, 460 + $65, 000 = $96, 460

What are 3 means of analysis that one can use to describe relationships between variables?

1. Crosstabular analysis


2. Comparison of means


3. Correlations

What are the 3 steps in performing a data analysis?

1. Decide IV and DV


2. Decide appropriate procedure for examining relationships


3. Perform analysis

What is a crosstabular analysis?


What level of measurement is the DV and IV?

Data is sorted into categories within the IV and DV (cross-classified) to show the relationship between them




DV: nominal or ordinal


IV: nominal, ordinal or ratio

What type of analysis is a crosstab?

Bivariate analysis

What is a contingency table and when is it used?

Presents info so the relationship between a nominal level dependent variable can be related to an independent variable. Used in crosstabular analysis.

What are the steps in performing a univariate analysis?

Analyze > Descriptive statistics > Frequencies > Statistics > Charts

What are the steps in performing a crosstab analysis?

Univariate frequencies/charts > Analyze > Descriptive statistics > Crosstabs > DV rows, IV columns > Cells (%) in direction of IV

What is comparing means?


When it is used?

Comparing the mean values of the dependent variable for each category of the independent variable




When the dependent variable is ratio level data and when the independent variable is either nominal or ordinal

What 2 tests of significance may be used in comparing means?

T-test and ANOVA

What does a Chi Square test?


What does it provide?


How do you know if something is statistically significant?

The null hypothesis that 2 variables are independent




A p value




If the p value is <0.05, it is statistically significant, if the p value is >0.05, it is not statistically significant

What are the steps in performing a Chi Square?

Analyze > Descriptive Statistics > Crosstabs > DV rows, IV columns > Cells (%) > Statistics box > Chi Square test > Clustered bar charts

What is a correlation?


When is it used?


Can it be used in inferring cause and effect?

Describes how closely 2 ratio level variables co-vary together; associations




Ratio level variables




No

What are the 2 basic questions that are asked of the correlation?

1. What is the equation that describes the relationship between the 2 variables?


2. What is the strength of the relation between the 2 variables?

How does one determine the strength of a correlation between 2 variables?

R value (correlation coefficient)


-ranges from -1 to +1


-over 0.9 is a strong correlation


-0.5 is moderate

What is r = -1.0?


What is r = +1.0?


What is r squared?

-1.0 is a perfect negative correlation; an increase of 1 unit in 1 variable is associated with a proportional decrease in the other variable; negative slope


+1.0 is a perfect positive correlation; positive slope


The amount of variance in the X axis that explains the effect on the Y axis


R 0.9(0.9) = 0.81 = 81%

On which axis are the independent and dependent variables?


What is the general equation for the correlation slope?


What does it estimate?

Independent variable on the X axis


Dependent variable on the Y axis




Y=a + bX




How much the IV has to change in order to produce a unit of change in the DV

What type of correlation should be used for ratio level variables?


Ordinal level?

Ratio- Pearson


Spearman- Ordinal

What is meant by intraclass correlation coefficient?

Describes how strongly units in the same group resemble each other (categorical data)

What happens on the Y axis if the r value is 1?

Means 100% increment; every unit increase on the X axis will be the same unit increase on the Y axis

What is a regression line?

Line that offers the best linear description of the relation between the 2 variables

In the equation Y= a + bX, what does a and b mean?


How is b derived?

A is the constant or the point at which the line crosses the X axis




B is the slope and it represents height (h)/ base (b)

What can you predict using the equation?

The value of the dependent variable given the value of the independent variable