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Topic: Relative frequency

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Frequency

Principle of maximum entropy

Bayesian probability

Sunrise problem

Doomsday argument

Statistical hypothesis testing

Histogram

Frequentism

	FREQUENCY DISTRIBUTIONS
		Relative is the term used to indicate that the percentages or proportions are used in addition to the number of cases.
		A histogram is a pictorial representation of a frequency distribution in which the scores (X) are plotted on the X-axis of a graph and the frequency (or relative frequency) of occurrences is plotted on the Y-axis.
		A frequency polygon is a pictorial representation of a frequency distribution in which the scores (X) are plotted on the X-axis of the graph and the frequency (or relative frequency) of occurrences is plotted on the Y-axis.
	otel.uis.edu /yoder/freq_h.htm (850 words)

	Probability Definitions
		The relative frequency of an event E is defined as the proportion of n trials which result in E. If the number of trials n is large, the proportion of trials resulting in E is a good estimate of the true probability that E will occur.
		Exercise #1 demonstrates the relative frequency and a priori definitions of probability using an urn with 10 balls.
		Exercise #2 demonstrates the relative frequency and a priori definitions of probability using an urn with 100 balls.
	www.stat.wvu.edu /SRS/Modules/ProbDef/probdef.html (797 words)

	Frequency and Probability
		RELATIVE FREQUENCY (of an event): If n(i) denotes the frequency observed for the i-th event (consisting of a measured value, collection, or range of values) in a sample of size n, then the relative frequency of the i-th event is n(i)/n, which may be denoted by f(i); that is, f(i) = n(i)/n.
		Relative frequency is sometimes treated as a proportion and is represented as a percentage, which is calculated by multiplying f(i) by 100.
		(The cumulative frequency is sometimes treated as a proportion and is represented as a percentage, which is computed by multiplying F(i) by 100, where the index i ranges over all the values on the scale from 1 to n.) If the sampled population is continuous, then the index identifies intervals or ranges of values.
	web.uvic.ca /~ling48x/ling483/frequency.html (825 words)

	Measuring The Relative Velocity Of Light
		The frequency of light is a relative measurement; it is the number of wavelengths the observer passes in one second.
		Relative to the orbiting binary stars, we are circling them and are running into the light at different speeds (actually different distances), which explains why we don’t see multiple images of the same star.
		The amount of change in the measured frequency caused by the observer’s speed relative to the source is equal to the distance the observer has traveled relative to the source in one second (“positive when traveling towards the source” “negative when traveling away from the source”), divided by the known wavelength.
	www.physicsforums.com /showthread.php?t=30767 (6642 words)

	Frequency Distributions
		Relative frequency defined as the fraction of times the value occurs, or the freuqency of value(s) ÷ number of observations in the set.
		Relative frequency histogram constructed by assigning the relative frequencies as heights of the rectangles.
		Similar to frequency histogram except heights of rectangles are calculated by dividing relative frequency by class width.
	ingrid.ldeo.columbia.edu /dochelp/StatTutorial/%0AFrequency (1519 words)

	Data Session 3, Part C: Relative and Cumulative Frequencies
		As with the stem and leaf plot, the frequency histogram can be an awkward graph for large data sets, since the vertical axis corresponds to the frequency of each interval of values.
		The relative frequency for the interval 50 to
		The relative frequency histogram looks similar to the frequency histogram; the only differences are that the labels along the vertical axis represent percentages, and the height of each bar now represents the relative frequency expressed as a percentage (or proportion) for the corresponding interval of values.
	www.learner.org /channel/courses/learningmath/data/session3/part_c (533 words)

	Behavioral Statistics in Action
		Relative frequency is used to compare two distributions that have different numbers of subjects.
		Relative frequency polygons are created in the same manner as the frequency polygon.
		Cumulative Relative Frequency Polygons are created in the same manner as the cumulative frequency polygon with the only difference being that you use cumulative relative frequency values instead of cumulative frequency on the y-axis.
	www.miracosta.cc.ca.us /Home/rmorrissette/Chapter03.htm (749 words)

	[No title]
		It is constructed by measuring the class intervals on the horizontal axis and the cumulative frequencies (or cumulative relative frequencies) on the vertical axis.
		A histogram is a) a graphical presentation of a frequency or relative frequency distribution b) a graphical method of presenting a cumulative frequency or a cumulative relative frequency distribution c) the history of data elements d) the same as a pie chart 4.
		The relative frequency of a class is computed by a) dividing the midpoint of the class by the sample size b) dividing the frequency of the class by the midpoint c) dividing the sample size by the frequency of the class d) dividing the frequency of the class by the sample size 13.
	www.swlearning.com /quant/asw/sbe_8e/sg_ch02.doc (5567 words)

	Learning Resources: Statistics: Power from Data! Frequency distribution tables
		However, in the second row, the frequency for the 35–44 interval (i.e., 1) is added to the frequency for the 45–54 interval (i.e., 2).
		Thus, the cumulative frequency is 3, meaning we have 3 participants in the 34 to 54 age group.
		This relative frequency of a particular observation or class interval is found by dividing the frequency (f) by the number of observations (n): that is, (f ÷ n).
	www.statcan.ca /english/edu/power/ch8/frequency.htm (1706 words)

	Basic Probability
		Relative frequency is defined by taking the total hits and dividing them by the total at bats.
		Using the relative frequency interpretation of probability, the probability that a student passes the statistics exam is.90.
		Using empirical long run relative frequencies, if the data show that the probability of AB is equal to the probability of A times the probability of B, then A and B must be independent.
	www.utah.edu /stat/introstats/web-text/Basic_Probability (5282 words)

	Lecture Notes 2 (Site not responding. Last check: 2007-09-10)
		Note that the sum of all the relative frequency must always be equal to 1.00 or 100%.
		Relative frequency may be determined for both quantitative and qualitative data and is a convenient basis for the comparison of similar groups of different size.
		The size of a slice is proportional to the relative frequency of a particular category.
	business.clayton.edu /arjomand/business/l2.html (1126 words)

	ProbabilityTheory (Probability Central)
		It is the method of assigning relative frequencies to each of the possible outcomes.
		It is clearly seen that the relative frequency is 0 for the first three trials.
		The relative frequency usually becomes more exact after the first 100 trials and it stabilizes after more repetitions are made.
	library.thinkquest.org /11506/ptheory.html?tqskip=1 (390 words)

	Graphs (Site not responding. Last check: 2007-09-10)
		A frequency distribution indicates the number of cases observed at each score value or within each interval of score values in a group of scores.
		A relative frequency distribution is a distribution that indicates the proportion of the total number of cases (that is, scores) observed at each score value or at each interval of score values.
		Figure 2-4 shows a relative frequency polygon (as it is presented over the histogram) for data from tables 2-5 and 2-9.
	www.cofc.edu /~milesd/freqs.htm (1040 words)

	New View of Statistics: Relative Frequency (Site not responding. Last check: 2007-09-10)
		If the frequency of heart disease was the same in both groups, the relative risk would be 1.0, and if the frequency was less in smokers, the relative risk would be less than 1.0.
		It's hard to put a figure on what are considered small, medium and large differences between the frequencies of something in two groups, because it depends on the frequencies.
		That difference corresponds to a relative risk of about 1.2 (or 0.8, depending which way around the frequencies are).
	www.sportsci.org /resource/stats/relfreq.html (510 words)

	Statistics: Frequency Distributions Graphs (Site not responding. Last check: 2007-09-10)
		The frequency is placed along the vertical axis and the class midpoints are placed along the horizontal axis.
		A frequency polygon of the cumulative frequency or the relative cumulative frequency.
		The vertical axis the cumulative frequency or relative cumulative frequency.
	www.richland.edu /james/lecture/m170/ch02-def.html (499 words)

	Relative Frequency Table and Histogram
		In Section 1.3.1, we presented a relative frequency table for categorical data.
		Relative frequency tables may also be used for numerical data.
		The relative frequency table is a compact numerical way to present how the data is distributed.
	www.stat.wmich.edu /s216/book/node11.html (355 words)

	Relative Frequency and Empirical Distributions
		In most cases, the applet displays the relative frequency of the event and its complement, both graphically in blue, and numerically in a table.
		When you run the simulation, the relative frequency function is also shown numerically in the table and visually as a red bar graph.
		In Cavendish's data, construct a relative frequency distribution for the density of the earth variable.
	www.ds.unifi.it /VL/VL_EN/sample/sample3.html (1627 words)

	Certain Doubts » Relative Frequencies in Infinite Sets (Site not responding. Last check: 2007-09-10)
		Sequence of relative frequencies { 0, ½, 2/3, 2/4,3/5, 3/6, 3/7,….
		Since you are interested in the limiting frequency of evens we can reduce this question to that of considering the limiting frequencies of the corresponding parity sequences (sequences of zeroes and ones given the oddness or evenness of the drawn numbers).
		If you took the limiting frequency of the first n numbers, and the sequence was truely random, you still have infinite numbers left, and the remaining draws n+1 to infinity could still all be odd.
	bengal-ng.missouri.edu /~kvanvigj/certain_doubts/?p=604 (3550 words)

	MML: Frequency Module
		Although a note may be described in terms of frequency and time, in some music paradigms the actual time of a song is left to the interpreter or performer.
		For this reason notes will firstly be described in terms of their frequency indicators, and secondly by the time values assigned to the particular frequency.
		When the frequencies of notes are calculated on the basis of the ratios between notes, the direction in which the calculations are made is important.
	www.musicmarkup.info /modules/frequency (1961 words)

	Frequency (statistics) - Wikipedia, the free encyclopedia
		The relative frequency density of occurrence of an event is the relative frequency of i divided by the size of the bin used to classify i.
		In biology, relative frequency is the occurrence of a single gene in a specific species that makes up a gene pool.
		The limiting relative frequency of an event over a long series of trials is the conceptual foundation of the frequency interpretation of probability.
	en.wikipedia.org /wiki/Relative_frequency (209 words)

	Interpretations of Probability (Stanford Encyclopedia of Philosophy)
		According to the long-run theories, propensities are tendencies to produce relative frequencies with particular values, but the propensities are not the probability values themselves; according to the single-case theories, the propensities are the probability values.
		Perhaps all this shows that the notion of ‘propensity’ bifurcates: on the one hand, there are propensities that bear an intimate connection to relative frequencies and rational credences, and that obey the probability calculus (with finite additivity); on the other hand, there are causal propensities that behave rather differently.
		Since relative frequencies obey the axioms of probability (up to finite additivity), it is thought that rational credences, which strive to track them, should do so also.
	plato.stanford.edu /entries/probability-interpret (15152 words)

	Assignment # 1
		Fill in the frequency distribution chart, answer the questions and draw a bar chart using relative frequencies for the y-axis.
		Draw a bar chart for the grades using relative frequency for the y-axis.
		Draw a bar chart for the seating preferences using percentage frequency for the y-axis.
	voyager.dvc.edu /~ghorner/solutions2.htm (624 words)

	audio-rate frequency modulation
		The rate of the vibrato is determined by the modulator's frequency, the depth of the vibrato (or how far above and below its center frequency the carrier will be pushed) is determined by the modulator's amplitude and the shape of the vibrato is determined by the modulator's waveform.
		Both the exact frequencies and the relative strength of the sidebands are predictable using digital technology where all parameters can be precisely controlled.
		The carrier frequency is not necessarily the fundamental frequency.
	www.indiana.edu /~emusic/fm/fm.htm (2969 words)

	Calculation of Importance Values
		Relative frequency: Number of occurrences of 1 species as a percentage of the total number of occurrences of all species.
		Relative basal area: Total basal area of one species as a percentage of the total basal area of all species.
		When this is done the frequency calculation is left off and only relative dominance and relative density are included.
	www.ferrum.edu /caws/procedures/Imp_Value_Proc_Web.htm (1192 words)

	Worked Problem.....RF Polygon.....Psyc205/Soc205.....Vernoy
		Begin at 0 and label up to the largest relative frequency in both of the distributions.
		Remember to also put the label "Relative Frequency" next to the numeric labels.
		Finally we plot the relative frequency graph for the other frequency distribution with n = 250.
	daphne.palomar.edu /stat/wprfpoly.html (423 words)

	IngentaConnect The Regional Distribution and Relative Frequency of Gastrointesti... (Site not responding. Last check: 2007-09-10)
		The distributions and frequencies of some endocrine cells in the eight portions of the gastrointestinal (GI) tract – fundus, pylorus, duodenum, jejunum, ileum, cecum, colon and rectum of the nude mouse, Balb/c-nu/nu were studied with immunohistochemical method using six types of anti-sera against serotonin, gastrin, cholecystokinin (CCK)-8, somatostatin, glucagon and human pancreatic polypeptide (hPP).
		Their relative frequencies were varied according to each portion of GI tract.
		In conclusion, the general distribution patterns and relative frequency of GI endocrine cells of the nude mouse, Balb/c-nu/nu was similar to that of other strains of mice.
	www.ingentaconnect.com /content/bsc/ahe/2006/00000035/00000002/art00006 (379 words)

	411A: M4, U1, P6 : Relative Frequency Histograms
		frequency tables, which conveys the ideas of central tendency is a
		Relative frequency histograms are constructed by grouping data into classes and calculating the number of data values that fall within each class.
		Bars (of equal width) are then drawn for each class with a height equal to the corresponding frequency.
	www.shodor.org /os411/courses/411a/module04/unit01/page06.html (189 words)

	Statistics Glossary - Probability
		Relative frequency is another term for proportion; it is the value calculated by dividing the number of times an event occurs by the total number of times an experiment is carried out.
		The probability of an event can be thought of as its long-run relative frequency when the experiment is carried out many times.
		If an experiment is repeated many, many times without changing the experimental conditions, the relative frequency of any particular event will settle down to some value.
	www.cas.lancs.ac.uk /glossary_v1.1/prob.html (3540 words)

	Graphs of Frequency Distributions
		The number of items is called the "frequency" and sometimes the classes are called "bins".
		Consider the frequency in each class, and the class mark, to be a pair (f,x) for plotting.
		An ogive is a plot of cumulative frequency vs.
	www.bae.uky.edu /gates/aen202/lec2.htm (353 words)

	More Than Once In A Blue Moon: Multiple Jobholdings By American Artists
		In contrast, the occupation that was most frequently held as a second job was musicians and composers; 39.0 percent of all persons working this occupation indicated they held it as a second job.
		Since "unusual" is a relative term, it is important to cite a frame of reference.
		Those who work as artists in their primary jobs utilize the second job as a source of extra income, particularly during the intervals, which occur most frequently in the performing arts, when little art work may be available.
	www.arts.gov /pub/Researcharts/Summary40.html (3637 words)

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