is the sequence of conducting studies that collect, organize, summarize, analyze, and, draw conclusions from a given data.
Statistics
is the collection and organization of data
Descriptive Statistics
consists of generalizing from samples to populations performing hypothesis testing, determining the relationships among variables, and making predictions.
Inferential statistics
refers to the groups or aggregates of people, objects, materials, events, or things of any form
Population (Parameter)
is a subgroup or a portion of the population
Sample (Estimates)
is a characteristic that takes two or more variables that vary across individuals.
Variables
two types of variables
Quantitative Variables & Qualitative Variables
represent differences in quality, character, or kind but not in amount. Non-numerical. Ex. Sex, Eye color, Skin color, etc.
Qualitative Variables
are numerical in nature and can be ordered and ranked. Ex. Age, Weight, Height, Temperature, etc.
Quantitative Variables
Classification of a Quantitative Variables
Discrete or Continuous
It is a variable whose values can be counted using integral values. No decimals and should be written as a whole.
Discrete Quantitative Variables.
It is a variable that can be assumed to have any numerical value over an interval. It can be in decimal and something that can be measured.
Continous Quantitative Variable
Are raw material which the statistician works
Data
is the person who collects the information or the one who prepares analysis and the interpretations
Statistician
Four Scales - Levels of Measurements
Nominal Level, Ordinal Level, Interval Level, & Ratio Level
use numbers to identify name or membership in a group or category. Non-numerical and cannot be ranked. Ex: Gender, Sex, Religion, Civil Status
Nominal Level
connote ranking or inequalities. Ex: Social Class
Ordinal Level
Indicate the actual amount and there is an equal unit of measurement separating each score specifically equal intervals. No ABSOLUTE ZERO Ex: Temperature, IQ Test
Interval Level
Has an absolute zero. Example: Election Vote, Speed, Age, Weight, Scores, Length, Height, and Time
Ratio Level
is a sampling method that gives everyone in the population a fair chance to be chosen for the study.
Probability Sampling
Each element of the population has an equal chance of being taken into the sample.
Simple Random Sampling
is a sampling method that requires selecting based on a system of intervals in a numbered population.
Systematic Random Sampling
is a technique of dividing a population into groups, called STRATA, and sampling is done in each STRATUM.
Stratified Random Sampling
a probability sampling method in which you divide a population into clusters, such as districts or schools, and then randomly select some of these clusters as your sample.
Cluster Random Sampling
It is a sampling in various stages until the desired sampling units are obtained. It is used in studies that cover a wide geographical area or substantially large population.
Multi-Stage Random Sampling
a sampling method of getting samples from a population where some members of the population do not have an equal chance of being selected in the study.
Non-probability Sampling
is a method where units are selected for inclusion in the sample because they are the easiest for the researchers to access.
Convenience Sampling
it is a technique of choosing sampling units from a given population that have a specific characteristic.
Purposive Sampling
Is a sampling method that researchers apply when the subjects are difficult to trace.
Snowball Sampling
Is a technique in which the sample members are chosen only based on the researcher's knowledge and judgment.
Judgement Sampling
is the average of a set of numbers, calculated by adding all the numbers together and then dividing by the total count
Mean
is the middle number in a sorted list of numbers
Median
is the number that appears most frequently in a set of numbers
Mode
is the graph that displays the data by using contiguous vertical bars to represent the frequencies of the classes.
Histogram
is a graph that displays the data by using lines that connect points plotted for the frequencies at the midpoint of the classes.
Frequency Polygon
is a graph that represents the cumulative frequencies for the classes in a frequency distribution
Ogive
the frequencies are displayed by the heights of vertical bars, which are arranged in order from highest to lowest.
Pareto Chart
a circle that is divided into sections or wedges according to the percentage of frequencies in each of the distributions.
Pie Charts
a data plot that uses part of the data value as the stem and part of the date value as leaf to form groups or classes
StemandLeafPlot
is a graph used when the proportion of data values that fall into a given class is more important than the actual number of data value that fall into that class