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53 Cards in this Set
- Front
- Back
Data
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Collections of observations (such as measurements, genders, survey, responses)
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Variable
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a) Characteristics for _members_ of population_.
b) Characteristics __differ___ across members. |
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Descriptive Statistics
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Methods for _organizing and _summarizing_ information. Includes the construction of _graphs, charts, and tables and the calculation of various _descriptive_ measures such as _averages, measures of variations, and percentiles__.
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Qualitative
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Non-numerical
Example: gender, football team, mental disorders, diseases, type of crime, baseball team. |
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Quantitative
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Numerical
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Discrete
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Countable
Example: No. of students, No. of computers, players jersey numbers, No. of shoes, money. |
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Continuous
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Measurable
Example: height, cooking measurements, length of the driveway, age (time). |
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Ordinal
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The data can be _ordered, but the differences between data values are meaningless_.
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Interval
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The data can be _ordered___ and _the differences between data values_ are meaningful.
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Ratio
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The data can be _ordered_, differences and _ratios_ are meaningful, and there is a place for _a meaningful zero value__.
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Nominal
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The data consists of _names, labels, or categories__.
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Parameter
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a numerical measurement describing some characteristic of a _population_.
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Statistic
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a numerical measurement describing some characteristic of a _sample__.
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Inferential Statistics
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Drawing conclusions about a _population_ based on a sample.
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Color of product packaging
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example of nominal
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Names of new products
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example of nominal
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Salesperson’s performance: below average, average, above average
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example of ordinal
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Gross income for each of the past 5 years
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example of ratio
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Temperature in CEO’s private office
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example of interval
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Of the 800 U.S. kindergarten teachers polled, 32% say that “Knowing the alphabet” is an essential skill.
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example of descriptive statistics
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Of all U.S. kindergarten teachers, 32% say that “Knowing the alphabet” is an essential skill.
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example of inferential statistics
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Random Sampling
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selection so that each individual member has an __equal chance___ of being selected.
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Simple Random Sampling
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of n subjects selected in such a way that every possible __sample of the same size n__ has the same chance of being chosen.
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Stratified Sampling
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subdivide the population into __at least two different subgroups _ that share the __same characteristics, then draw a sample from each subgroup. (or stratum)
Example: Even amount of number women and men in a group |
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Systematic Random Sampling
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Select some starting point and then select ___every kth element__ in the population.
Example: To find a number with a “th” at end, 8th and 9th etc. |
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Cluster Sampling
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Divide the population area into
___selections (or clusters); randomly select some of those clusters; choose __all members__ from selected clusters. |
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Convenience Sampling
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use results that are easy to get.
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Voluntary response sample (self-selected sample)
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one in which the respondents themselves decide __whether to be included___.
In this case, valid conclusions can be made only _about the specific group of people__ who agree to participate and not _about the population_. (worse kind of sampling) |
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College students are waiting in line for registration. Every eighth person in line is surveyed.
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example of Systematic Sampling
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College students are waiting line for registration. Students are asked to volunteer to respond to a survey.
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example of Convenience Sampling
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In a large high school, a few students from every homeroom are randomly selected to participate in a survey.
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example of Stratified Sampling
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An accountant uses a random number generator to select ten accounts for audit.
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example of Simple Random Sampling
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To determine students’ opinions of a new registration method, a college randomly selects five majors. All students in the selected majors are surveyed.
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example of Cluster Sampling
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Observational Study
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Researchers observe _characteristics and take _measurements____. Observational studies only reveal __association__.
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Designed Experiment
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Researchers impose __treatments and __controls___ and then _observe characteristics and take _measurements_. Designed experiments can help establish _causation__.
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A study over 6-years of 3800 people over the age of 65 was done concerning the death rate of “lefties” compared to “righties.” It was found that there was no difference in the death rate.
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example of Observational study
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2. Researchers randomly assigned 39876 healthy women 45 years of age or older to receive 100 mg of aspirin or placebo on alternative days and then monitored them for 10 years for a first major cardiovascular event.
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example of Experiment
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How to calculate the "Class Width"
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max. subtracted to min. divided by/ the number# of classes. If answer has a decimal round up!
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what symbol is sample mean?
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(-)x
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what symbol is sample median?
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(~)x
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what symbol is sample standard deviation?
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s
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what symbol is population standard deviation?
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σ
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what symbol is population mean?
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µ
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what symbol is population size?
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N
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what symbol is sample size?
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n
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How to calculate GPA or grades using STATCRUNCH?
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Stats>calculators>customs
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How do you calculate CV (coefficient of variation)?
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CV = Standard Deviation divided by/ Mean multiply by 100
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What is the 5# summary?
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Min, Q1, Q2, Q3, max
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How to do you calculate Chebyshev method?
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1.) The Mean subtracted to the number 2 and multiply the answer to the Standard Deviation.
2.) The Mean added to the number 2 and multiply the answer to the Standard Deviation. The two answers will be "in between" or # - # Example: 88.4286 – 2 (12.7914) = 62.8458 88.4286 + 2 (12.7914) = 114.0114 75 % built-up roads will have between 62.8458 – 114.0114 accidents |
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How to calculate the Z- score?
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The number corresponding in the question subtract it to the Mean and then divide by/ 2.
Example: Find the z-score corresponding to 25 pounds of garbage. z = 25 – 28/ 2 = -1.5 |
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How to calculate "Relative Frequency"?
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Take the added result of the frequency and divide it by the number in each column in the frequency's table.
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How to calculate "Frequency"?
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Use STATCRUNCH and add the total of frequency of each set of class limits-upper class limits. Then add the total of frequency's in your table.
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How to calculate "Class Boundaries"?
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Take the class limits and deduct half a point less and half a point more from the max. and min.
For example: Class Limits 11-14 15-18 19-22 23-26 27-30 Class Boundaries: 10.5 – 14.5 14.5 – 18.5 18.5 – 22.5 22.5- 26.5 26.5 – 30.5 |