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Statistics
Science of collection, presentation, analysis, and reasonable interpretation of data
two types of statistics
descriptive and inferential ttatistics
Descriptive Statistics
Aims to describe given set of data but it cannot draw conclusions
Inferential Statistics
Aims to draw conclusion and predictions about the set of data
The focus of descriptive statistics is to ___________
DESCRIBE data
The focus or goal of inferential statistics is to
make decisions about population characteristics
The three fundamental elements of statistics
Experimental, Population, Variable
It is the subject in which researchers collect data (i.e: people)
Experimental
All items of interest
Population
2 Types of variable
Independent and dependent variable
2 Types of variable
Independent and dependent variable
presumed CAUSE
Independent variable
presumed EFFECT
dependent variable
Two types of data
Qualitative and Quantitative data
Qualitative
Non-numeric and can only be classified into categories.
Quantitative
measurements that are recorded on a natural occuring numerical scale; numeric on nature
Four sources of data
Published source, designed experiment, survey, observation data
example of this source is book, journal newspaper, website
Published source
Designed experiment
researchers exerts strict control of unit
a group of people are surveyed and their responses are controlled
survey
Representative sample
exhibits characteristics that represent the population of interest
Every sample has an equal chance of being chosen but not eveyone will be chosen
random sample
Problems with non-random sample
selection bias, nonresponse bias, measurement error
A subset of the experimental units in the population is excluded, these units have no chance of being selected for the sample
Selection bias
Nonresponse bias
the researchers conducting a survey or study are unable to obtain data on all experimental units selected for the sample
innacuracies on the values of the recorded data. In surveys, errors due to ambiguous or leading questions and the interviewers effects on the respondent
Measurement error
Nominal
describes, names, and labels the characteristics of a group
no inherent ranking order it only categorize cases
Nominal
gender, ethnicity, blood type, coffee preference
example of nominal data
labels/names categories and has inherent ranking order
ordinal
In this measurement, non-numeric labels can still convey order, as the absence of numbers does not imply a lack of order
ordinal
income level
low income, mid income, high income
example of ordinal data
measured numerically or numerical in nature
numerical data
has magnitude, equal-interval, and has no absolute value
interval
temperature in fahrenheit and celcius
examples of interval
Distance between points is consistent and can be measured. Has absolute zero
ratio
Distance between points is consistent and can be measured. Has absolute zero
ratio
height, weight, length
example of ratio
Temperature in kelvin
ratio
ruler
interval
score in a motivation scale
interval
Discrete
Countable variables. Has no decimal
Continuous
can be acquired through measuring scale and has decimal places or in-between values
Number of students
Discrete
Ratio
it is a matter kung “wala” o “meron”. Wala ritong negative values
Two classifications of variable
discrete and continuous
Mnemonics for Random Sampling
S-S-S-C
Mnemonics for three problems with non-random sampling
S-N-M
Mnemonics for the 4 sources of data
P-D-S-O