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31 Cards in this Set

  • Front
  • Back
Frequency Distribution
organized tabulation of the number individuals located in each category on the SOM

- ranks and groups
Two Elements of a Frequency Distribution
1. a set of categories that make up the original scale of measurement

2. a record of the number of individuals in each category (frequency)
Frequency Distribution Tables
- simplest presentation style

- listing X(score) value categories (highest to lowest?) and recording frequency in adjacent column

- x for scores
- f for frequencies
X column in FDT represents?
- SOM
sigma f =
N
first step in sigma X +2...
isolate x scores

ex 5 6 8 8

N= sigma f = 4

sigma x+2 =

(5+2) + (6+2) + (8+2) + (8+2)

sigma f/N= gives you the number of values

if sigma f= 4 then 4 scores need to isolated and any further process acted upon them before summation
explaining f...
- how many times a particular score event was reported (observed and measured)

- sigma f establishes the number of values reported by the FDT
x ... f... and f(x)...
- x = score category(value category)

- f = number of times a specific score category was reported

- f(x) - raw value of represented by score category and frequency in FDT
What are relative frequencies?
- proportion of frequency compared to total frequency

- p = f/N
percentage
- 100(f/n)
How does group frequencies relate to the purpose of FDT?
- relatively organized simple picture of data

- rather listing individual values grouping intervals can help for a concise presentation of data
Group Frequencies
- groups of scores vs individual values

- this change effects x column labeling
What are Group Frequencies also called...
class intervals
Guidelines (ruleS) for FDT and class intervals
1. approx 10 intervals

2. Simple Width (easily multiple sizes)

3. Bottom Score multiple of width scale

4. Interval Width Consistence (no gaps or overlaps // 1 score 1 interval)

Range --> highest - lowest + 1
Establishing Scalar Value
range = highest - lowest +1

divided by 10 rounded to the nearest easily divisible number
Histogram
- numerical scores (as categories) on x axis

- bar above the x value

a. height - corresponding to the frequency or that category

b. width - extends to real limits of the category
Polygons
- ratio/interval
- numeric scores

steps

- dot centered above each category (height = frequency)

- a continuous line connects dots

- line extends below lowest score and above highest score
Steps for making Frequency Distribution Table:
make list of each possible value from high to low
 record frequency of each value on list
figure percentage (or proportion) of scores for each value
Grouped Frequency
- grouping values

- usng many possible values
Histogram
- a bar chart

- for numerical scores

- bars touch
two types of frquency distruibution graphs for numeric ratio and interval
- polygons and historgrams
Bar graph is for
- nominal and ordinal scales
Steps for creating a histogram:
Make frequency table
List numerical scores along bottom from lowest to highest
Make scale of frequencies along left edge starting from zero at bottom
Make bar above each value with height for frequency of that value
Frequency Distribution Graph: Polygon
Line graph
Line moves from point to point
Height of each point shows number of scores with that value
relative frequency and smooth curves
- large poulation ways of representing unaccounted data

- relative frequency of scores is a comparision of categories and smooth curve shows relative changes in scores with smooth line that dont cross over "real dots"
Three Characteristics that completely decribe any distribution:
- shape, central tendency, variability
variability
- whether scores are clustered or spread out
symmetrical distribution
line down the middle creates two mirror images
skewed distribution
- distribution stacked on one side
tail
the direction in which the distribution tapers off
whether a skewed graph is positive or negative dpends on ...
- the direction of the tail...

- tail on lower limit side it is negatively skewed

- tail on upper limit positively skewed