Boundary of intervals for scores that are represented on a continuous number line

Chapter 1Statistics:The term statistics refers to a set of mathematical procedures for organizing,summarizing, and interpreting information.oStatistics are used to organize and summarize the information so that the researchercan see what happened in the research study and can communicate the results toothers.oStatistics help the researcher to answer the questions that initiated the research bydetermining exactly what general conclusions are justified based on the specific resultsthat were obtained.Population: The set of all the individuals of interest in a particular study.Sample: A set of individuals selected from a population, usually intended to represent thepopulation in a research study.Variable: A characteristic or condition that changes or has different values for differentindividuals.Data:(plural) Measurements or observations.Data set: A collection of measurements or observations.Datum(singular): A single measurement or observation and is commonly calledascoreorraw score.Parameter:A value—usually a numerical value—that describes a population. A parameter isusually derived from measurements of the individuals in the population.Statistic: A value—usually a numerical value—that describes a sample. A statistic is usually

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Terms in this set (63)

producers

those who produce data ( those who know a lot about statistical tools' limitations)

consumers

producers have to know a lot about this group (us)

inferential statistics

statistical techniques that allow us to study samples and then make generalizations about the populations from which they were selected

parameter

a researcher is curious about the average age of drivers in the city of Columbus. If he obtains a database of every driver in the city and calculates the average, this is an example of a

If we were looking at the average IQ of all Americans by looking at a sample of 50 people, ...

because of sampling error, the average may be greater than or less than the average for the population

statistical methods are classified into these 2 categories

1. descriptive
2. inferential

2 students, Lauren and Mary, are studying the average age at death of females in the town of Mobile, Alabama in the year 2011. Lauren claims that the set of records represents the population for their study. Mary claims that it is only a sample. Who is correct and why?

Lauren is correct. The study is only about female deaths in Mobile during 2011. A population is the set of all individuals of interest in a particular study

A research study is comparing salaries for recent college graduates in Spain vs France reports that graduates in France earn more than those in Spain. What research design did they use

nonexperimental: does not have control or experimental groups

A scientist is studying the effect of temperature on the ability of a plant to grow. She places four plants in environments of four different temperatures. All plants are given the same amount of water and light each day. She measures the height of each plant at the end of a month. Which describes the independent variable

room temperature: variable that is being manipulated by the researcher

A scientist is studying the effect of temperature on the ability of a plant to grow. She places four plants in environments of four different temperatures. All plants are given the same amount of water and light each day. She measures the height of each plant at the end of a month. Which describes the dependent variable

plant heights: variable that is being observed by researcher

in what kind of study will you find a quasi-independent variable?

nonexperimental studies: the quasi independent variable is used to create different groups of scores

what is not required for a proper experiment

quasi-independent variable

what is required for an experiment?

two variables: control and experimental condition

John and Aaron are looking at a series of quiz scores. The quiz is a short quiz on which students could score 0, 0.5, 1, 1.5, 2, 2.5, or 3 points. John claims that the quiz score is a discrete variable and Aaron claims that it is a continuous variable. Who is correct?

John is correct b/c there is a finite number of scores with no possible values in between those scores

discrete variable

consists of separate, indivisible categories, where no values can exist between 2 neighboring categories

discrete variable

a researcher studies the factors that determine the number of cars owned by American families. The variable, number of cars, is an example of...

when measuring weights to the nearest half ounce, what are the real limits for a score of 23 ounces?

22.75 and 23.25: the real limit separating 2 adjacent scores is located exactly halfway between scores. Since the possible scores for rounding to the nearest half inch include 22.5, 23, and 23.5, the lower real limit for 23 is (22.5 +23)/2= 22.75 and the upper limit is 23 +23.5)/2= 23.25.

true or false: all interval scales are ratio scales

false

true or false: all nominal scales are ratio scales

false

true or false: all ratio scales are nominal scales

false

true or false: all ratio scales are interval scales

true

operational definitions of shyness

1. number of people interacted with over the course of a day
2. amount of time spent alone
3. number of times eye contact is made in the course of a conversation

what are the value of n and ∑X for the following scores: 3, 3, 4, 6?

n=4 and ∑X=16

What is the correct order for calculating ∑(X-1)^2

subtract 1 from every term, square the result of each subtraction, and then add the squares (order of operations)

what is equivalent to ∑(X-1)^2

X^2 + 2∑X + ∑1

for which situation is n = ∑X?

when values of X are all 1

Researchers are conducting a study to determine the effect of caffeine on memory among Americans. A sample of 100 individuals is given a list of 20 words to look at and remember over the course of 24 hours. What is the correct notation?

n=100

statistics

refers to a set of mathematical procedures for organizing, summarizing, and interpreting information

population

set of all individuals of interest in a particular study

sample

set of individuals from a population, usually intended to represent the population in a research study

raw score

(datum is singular) datum is referred to as a raw score

data set

collection of measurements or observations

data

measurements or observations

parameter

a value- usually a numerical value- that describes a population. It is usually derived from measurements of the individuals in he population

statistic

numerical value that describes a sample. Is usually derived from measurements of individuals in the sample

descriptive statistics

statistical procedures used to summarize, organize, and simplify data

inferential statistics

consist of techniques that allow us to study samples and then make generalizations about the populations from which they were selected

sampling error

naturally occurring discrepancy, or error, that exists between a sample statistic and the corresponding population parameter

constructs

internal attributes or characteristics that cannot be directly observed but are useful for describing and explaining behavior

operational definition

identifies a measurement procedure for measuring an external behavior and uses the resulting measurements as a definition and a measurement of a hypothetical construct.

2 components of an operational definition:

1. describes set of operations for measuring a construct
2. defines the construct in terms of the resulting measurements

discrete variable

consists of separate, indivisible categories. No values can exist between 2 neighboring categories

continuous variable

there are an infinite number of possible values that fall between any two observed values.It is divisible into an infinite number of fractional parts

real limits

boundaries of intervals for scores that are represented on a continuous number line. The real limit separating 2 adjacent scores in located exactly halfway between the scores. Each score has 2 real limits. The upper real limit is at the top of the interval, and the lower limit is at the bottom

lower real limit

limit at the bottom of the interval

upper real limit

limit at the top of the interval

nominal scale

consists of a set of categories that have different names. Measurements on this scale label and categorize observations, but do not make any quantitative distinctions between observations

ordinal scale

consists of a set of categories that are organized in an ordered sequence. Measurements on an ordinal scale rank observations in terms of size or magnitude.

interval scale

consists of ordered categories that are all intervals of exactly the same size.Equal differences in numbers on scale reflect equal differences in magnitude. The 0 point on an interval scale is aribtrary and does not indicate a zero amount of the variable being measured

ratio scale

a ratio scale is an interval scale with additional feature that a score of 0 indicates none of the variable being measured. With a ratio scale, ratios of numbers reflect ratios of magnitude

descriptive research or descriptive research strategy

involves measuring one or more separate variables for each individual with the intent of simply describing the individual

correlation method

two different variables are observed to determine whether there is a relationship between them

experimental method

one variable is manipulated, while the other is being measured. To establish a cause- and - effect relationship between the two variables, an experiment attempts to control all other variables to prevent them from influencing the results

independent variable

variable that is being manipulated. In behavioral research, the independent variable usually consists of the 2 or more treatment conditions to which subjects are exposed. It is manipulated prior to observing the dependent variable

dependent variable

observed to assess the effect of the treatment

control condition

individuals do not receive the experimental treatment. They receive no treatment or receive a placebo treatment. The purpose of a control condition is to provide a baseline for comparison with the experimental condition.

experimental condition

individuals receive treatment

quasi-independent variable

in a nonexperimental study, the independent variable that is used to create the different groups of scores

variable

characteristic or condition that changes or has different values for different individuals

example of nominal scale

gender, hair color (mutually exclusive), do not have any numerical significance

example of ordinal

difference between ok and unhappy on a questionairre about how you feel today, they are non-numerical (use median or mode)

example of interval scales

difference between 60 and 50 degrees is 10 degrees, time

example of ratio scale

height, weight

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Which type of variables require boundaries called real limits in their scales of measurement?

To define the units for a continuous variable, a researcher must use real limits which are boundaries located exactly half-way between adjacent categories.

What does each interval of the scale represent?

An interval scale is one where there is order and the difference between two values is meaningful. Examples of interval variables include: temperature (Farenheit), temperature (Celcius), pH, SAT score (200-800), credit score (300-850).

Is scale an interval or ratio?

The difference between interval and ratio scales comes from their ability to dip below zero. Interval scales hold no true zero and can represent values below zero. For example, you can measure temperature below 0 degrees Celsius, such as -10 degrees. Ratio variables, on the other hand, never fall below zero.

What statistical procedure organizes scores in rank order and groups them?

Descriptive statistics are procedures used to summarize, organize, and make sense of a set of scores or observations.