Apendix Flashcards
descriptive statistics
descriptive statistics quantitatively describe a population or set of data.
provide information about the data involved in the study.
example : number of subjects, proportion of subjects of each sex, average age.. etc… whatever relevant to the study.
What does descriptive statistics include?
measures of central tendency ( such as mean median mode)
measures of variability ( such as range and standard deviation)
Measures of central tendency
it summarizes or describes the entire set of data in some meaningful way.
Mean
Mean is the average of a given sample
it can be both useful and deceptive. Since it usually does not account for the most accurate understanding of the whole group. example, if 10 people in a group earns minimum wage and one person is a billionaire, then the mean would resemble a number by which we will understand everyone is wealthy.
Median
It is the middle number in a data set.
Put the numbers in a consecutive order and then find the middle number.
ODD number of numbers : there will be a single number that will be the median
EVEN number of numbers : median is determined by averaging the two middle numbers.
Usefulness : in finding the midpoint of the data, but does not say much about the outliers. It will give a good idea about the salaries of the 10 person but will not include the billionaire persons salary.
Mode
most frequently recurring number in the data.
if there are no numbers that occur more than once, then there is no mode. if there are multiple numbers that occur most frequently, each of those numbers is a mode.
modes are never averaged.
Mode is particularly useful in describing scores, e.g. test scores.
Range
the range is the difference between the smallest and the largest number in a sample.
Standard Deviation
It is the degree of variation from the mean.
The standard deviation is more useful than the range for calculating how much the data vary.
it can determine if the numbers are packed together or dispersed because it is a measure of how much each individual number differs from the mean.
Normal distribution
very important in the study of human behaviour.
large sets of data e.g. height, weight, often form a symmetrical bell shaped distribution when graphed by frequency.
Frequency
number of instances.
what does a low standard deviation indicate?
It reflects that data points are all similar and close to the mean.
A high standard deviation indicate that the data are more spread out.
Example of normal distribution and standard deviation
look at book page 299 and 300
Percentile
often used when reporting data from normal distributions.
they represent the area under normal curve, increasing from left to right.
what does a score in the 75th percentile indicate?
a score in the 75th percentile is higher than 75% of the rest of the scores.
see book page 301 for example.
What does inferential statistics allow us to do?
inferential statistics allows inferences or assumptions to be made about data.
what can we do with inferential statistics?
using inferential statistics such as a regression coefficient or a t-test, you can draw conclusions about the population you are studying. Inferential statistics starts with a hypothesis and checks to see if the data prove or disprove that hypothesis.
variables
variables are the things that statistics is designed to test.
we check if an independent variable has an effect on the dependant variable.
independent variable
an independent variable is the variable that is manipulated to determine what effect it will have on the dependent variable.