intro to statistics Flashcards
Stats 101
Four Common Misleading Graph Methods
- Graphing an inappropriate statistic
- Omitting the zero on the relevant scale
- Manipulating the scale
- Two dimensions to represent one dimension
Stats 101
Voluntary Response Sample
When a large group of individuals is invited to respond and those that don’t are not counted. They respond because they have a high interest in the topic surveyed.
Stats 101
Random Selection
occurs when every member of population to which we would like to generalize our results has an equally likely chance of being chosen to participate in the study
Stats 101
Data
collections of observations, such as measurements, genders, or survey responses.
Stats 101
Datum
a single data value
Stats 101
Statistics
the science of planning studies and experiments; obtaining data; and then organizing, summarizing, presenting, analyzing and interpreting those data and then drawing conclusions based on them.
Stats 101
Population
the complete collection of all measurements or data that are being considered.
Stats 101
Census
the collection of data from every member of the population.
Stats 101
sample
a subcollection of members selected from a population
Stats 101
process in conducting statistical study
prepare
analyze
conclude
Stats 101
Context
what do the data mean?
What is the goal of the study
Stats 101
Source of the data
are the data from a source with a special interest so that there is pressure to obtain results that are favorable to the source?
Stats 101
sampling method
Were the data collected in a way that is unbiased, or were the data collected in a way that is biased. (such as a procedure in which respondents volunteer to participate)
Stats 101
Prepare
- context
- source of data
- sampling method
Stats 101
Analyze
- graph the data
- explore the data
- apply statistical methods
Stats 101
Explore the data
Are there any outliers (numbers very far away from almost all of the other data)?
What important statistics summarize the data (such as the mean and standard deviation )?
Did many selected subjects refuse to respond?
Stats 101
Apply statistic methods
use technology to obtain results
Stats 101
Conclude
- statistical significance
- do the results have statistical significance?
- Do the results have practical significance?
Stats 101
statistical significance
achieved in a study when a result is given that is not likely to occur by chance.
Stats 101
practical significance
the results have some meaningful and useful implications for the real world
Stats 101
misleading conclusions
can come from reported results
small samples
and other errors
Stats 101
reported results
subjects report their results rather than the surveyor taking measurements. (I lost 5 lbs - could be a lie.)
Stats 101
Small Samples
Conclusions should not be based on samples that are far too small.
Example: Basing a school suspension rate on a sample of only three students.
Stats 101
loaded questions
survey questions intentionally worded to elicit a desired response.
Stats 101
order of questions
survey questions are unintentionally loaded by the order of items being considered.
ex: “would you say traffic contributes more to air pollution than industry?
would you say industry contributes more to air pollution than traffic?
Stats 101
nonresponse
someone who refuses to respond to a survey question or is unavailable
Stats 101
Missing data
can dramatically affect results
- can be caused by random factors such as people dropping out
-special factors such as low income people refusing to admit their annual income
Stats 101
precise numbers
241,472,385 adults in U.S.
people assume that because the number is so precise, it must be accurate. that number is an estimate and would be better represented as 240 million adults.
Stats 101
percentages
some studies have unclear or misleading percentages
ex: references to percentages that exceed 100%
Stats 101
percentage of
to find the percentage of an amount, drop the % symbol and divide the percentage value by 100.
6% of 1,200 respondents
6⁄100 × 1,200 = 72