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# Stats Test 1 Notes.doc

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Department
Sociology
Course
SOCC31H3
Professor
Shirin Montazer
Semester
Fall

Description
CH.1 The stages of social research 1. research qs 2. hypothesis 3. method 4. collect data 5. analyze data - Experiment; a type of research where the researcher manipulates one or more independent variables. - Experimental also known as a treatment group; the group that is manipulated - Control group; the group is not manipulated - Participant observation; research where the researcher participates in the daily life of study. - Secondary analysis; use data that was collected by other researchers - Qualitative data; a set of observation where any single observation is a word or code that represents a class or category (use a small N, open ended interviews) - Quantitative data; a set of observation where a single observation is a number that represents an amount or count (use large N) - Variable; characteristics that differ from one individual to the other - Hypothesis; a statement of relationship between 2 or more variables - Dependent variable; the presumed outcome or effect resulting from some treatment or exposure. - Independent variable; presumed cause or influence affecting the dependent variable. Level of measurement - nominal; involves naming or labelling not in order - ordinal; involves the ordering of categories - interval; ordering and exact distance (\$, degrees, yrs of education) - ratio level; same as interval but includes an absolute or zero point( age, hours worked) Discrete variable; separate and distinct specific values (gender, religion, # of dependents) Continuous variable; infinite range of possible values (weight, age, income) 2 functions of stats; inferential and descriptive Ch.2 Frequency distribution 2 popular methods: - Proportion; number of cases compared to the total size of distribution P= f/n - Percentage; the frequency per 100 cases %= (100) f/n - ordinal and interval data must be in a sequence order in a frequency table - class intervals must be mutually exclusive. Ex; 1-5, 6-10 NOT =>1-5, 5-10 - whole numbers preferable to decimals - Steps of constructing frequency distribution 8. specify the number of class intervals 9. The largest data- the smallest data/ number of classes= class width (w=l-s/k) Stated vs. True Limits - true classes; classes that upper true (or real) limit of that class is the same as the lower true limit of the next class - stated classes; those classes that we see in grouped frequency Bottom of interval: 1/2unit below stated & Top of interval: 1/2 unit above stated - The number of decimal places of stated limits determines the number of zeros before the ``5`` that is subtracted or added to obtain the true limit (1 decimal place =.05; 2 decimal places= .005, etc The Midpoint - class intervals have a midpoint - Midpoint- SUM of the lowest and highest scores divided by 2. M= LS+HS/2 Cumulative Distributions - cf is cumulative frequencies. They are the total # of cases having any given score or a score that is lower. The cumulative frequency for any category or class interval is obtained by adding frequency in that category to the total frequency for all categories. - Cumulative percentage –percentage of cases having any score or a lower score. c%=(100) cf/N Cross Tabulations -frequency distributions of each variable separately can be found along the margins of a 2 way cross tabulation is called “marginal distributions” •Rule of Thumb: •If the independent variable is on the rows, use row percents. Row %= (100) f/N row •If the independent variable is on the columns, use column percents. Col %= (100) f/N column •If the independent variable is unclear –use whichever is most meaningful. •IN OUR CASE: we use column percentages because the independent variable is on the column Graphs - pie charts are good for nominal data - Bar graphs used primarily for discrete variables - Histograms used to show continuity along a scale - Frequency polygons useful for ordinal and interval data Ch.3 - 3 main types: mean, median and mode - Mode; most frequent value in a distribution. Unimodal- 1 mode, Bimodal- 2 mode - Median is the middle case of a distribution Md= n+1/2 (n= odd number of cases) Even= no middle cases then Md= n/2 case…(n/2)+1 and the value in between 2 numbers average it (a+b/2) - Mean X= Ex/N X=mean Sum= E X = raw scores in a set of scores N = total number of scores in a set - Three factors in choosing a measure of central tendency 1. Level of measurement 2. Shape or form of the distribution of data 3. Research Objective - In symmetrical distribution –mode, median, and mean have identical values - In skewed data, the measures of central tendency are different - Mean is always near and towards the skewed graph x = md1f1+ md2f2+ md3f3n - Deviation; distance and direction of any raw score from the mean. D= x (any raw score)- _X(mean of the distribution). The greater the deviation, the greater is the distance of that raw score from the mean of the distribution. CH 4 Measure of variability - range= difference between the highest and lowest scores in a distribution. R=H-L The variance and standar
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