A ranking is a relationship between a set of items, often recorded in a list , such that, for any two items, the first is either "ranked higher than", "ranked lower than", or "ranked equal to" the second. In mathematics , this is known as a weak order or total preorder of objects. It is not necessarily a total order of objects because two different objects can have the same ranking. The rankings themselves are totally ordered. For example, materials are totally preordered by hardness , while degrees of hardness are totally ordered. If two items are the same in rank it is considered a tie.
43-654: Mainstream Rock is a music chart in Billboard magazine that ranks the most-played songs on mainstream rock radio stations in the United States, a category that combines the formats of active rock and heritage rock . The chart was launched in March 1981 as Rock Albums & Top Tracks , after which the name changed first to Top Rock Tracks , then to Album Rock Tracks , and finally to its current Mainstream Rock in 1996. The Rock Albums & Top Tracks charts were introduced in
86-506: A 60-song tally to 50 songs on October 20, 1984, following a major revamp to the magazine. Coinciding with an increase in its reporting panel of album rock stations in the United States, the name of the chart was changed again with the issue dated April 12, 1986, to Album Rock Tracks. On November 23, 1991, instead of reporting panels, Billboard changed its methodology of measuring airplay by using monitored airplay as provided by Nielsen Broadcast Data Systems to compile many of its charts. As
129-424: A climber, as if releases ahead of it decline in sales sufficiently, they may slip below it. By the same metric, not all week-to-week sales increases result in a climber, if other releases improve by a sufficient amount to keep it from climbing. The term highest climber is used to denote the release making the biggest leap upwards in the chart that week. There is generally not an equivalent phrase for tracks going down
172-685: A gap. This method is called "High" by IBM SPSS and "max" by the R programming language in their methods to handle ties. In dense ranking, items that compare equally receive the same ranking number, and the next items receive the immediately following ranking number. Equivalently, each item's ranking number is 1 plus the number of items ranked above it that are distinct with respect to the ranking order. Thus if A ranks ahead of B and C (which compare equal) which are both ranked ahead of D, then A gets ranking number 1 ("first"), B gets ranking number 2 ("joint second"), C also gets ranking number 2 ("joint second") and D gets ranking number 3 ("Third"). This method
215-489: A greater emphasis on classic rock with a few newer tracks mixed in. The individual Active Rock and Heritage Rock components were discontinued by Billboard at the end of November 2013 due to a growing lack of difference between the two charts. To celebrate the 40th anniversary of the chart, in June 2021, Billboard released two charts ranking the top songs and artists in the history of the chart. " Touch, Peel and Stand " by Days of
258-468: A music/entertainment chart or the performance of a release thereon. A new entry is a title which is making its début in that chart. It is applied to all charts, for instance a track which is outside the Top 40 but which later climbs into that level of the chart is considered to be a 'new entry' to the Top 40 that week. In most official charts, tracks have to have been on sale for a period of time in order to enter
301-455: A particular musical genre and most to a particular geographical location. The most common period covered by a chart is one week with the chart being printed or broadcast at the end of this time. Summary charts for years and decades are then calculated from their component weekly charts. Component charts have become an increasingly important way to measure the commercial success of individual songs. A common format of radio and television programs
344-462: A result, this data showed that many songs could spend months to over a year on the Album Rock Tracks chart. Billboard decided to drop to a 40-position chart on the week of June 27, 1992 (still its current format), and songs that fell out of the top 20 and after spending 20 weeks on the chart were moved to a new 10-position recurrent chart. The recurrent chart was scrapped two years later, but not
387-454: A runaway seller. Most charts that are used to determine extant mainstream popularity rely on measurable data. Record chart performance is inherently relative, as they rank songs, albums, and records in comparison to each other at the same time, as opposed to music recording sales certification methods, which are measured in absolute numbers. Comparing the chart positions of songs at different times thus does not provide an accurate comparison of
430-402: A song's overall impact. The nature of most charts, particularly weekly charts, also favors songs that sell very well for a brief period; thus, a song that is only briefly popular may chart higher than a song that sells more copies in the long range, but more slowly. As a result, a band's biggest hit single may not be its best-selling single. There are several commonly used terms when referring to
473-424: Is a materially different recording or is significantly repackaged (such as Michael Jackson's "Thriller 25"), where the release would normally be considered separate and thus a "new" entry. A climber is a release which is going higher in the chart week-on-week. Because chart positions are generally relative to each other on a week-to-week basis, a release does not necessarily have to increase sales week-to-week to be
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#1733121544094516-425: Is also referred to as "row numbering". This method corresponds to the "first", "last", and "random" methods in the R programming language to handle ties. Items that compare equal receive the same ranking number, which is the mean of what they would have under ordinal rankings; equivalently, the ranking number of 1 plus the number of items ranked above it plus half the number of items equal to it. This strategy has
559-403: Is an example: Suppose you have the data set 1.0, 1.0, 2.0, 3.0, 3.0, 4.0, 5.0, 5.0, 5.0. The ordinal ranks are 1, 2, 3, 4, 5, 6, 7, 8, 9. For v = 1.0, the fractional rank is the average of the ordinal ranks: (1 + 2) / 2 = 1.5. In a similar manner, for v = 5.0, the fractional rank is (7 + 8 + 9) / 3 = 8.0. Thus the fractional ranks are: 1.5, 1.5, 3.0, 4.5, 4.5, 6.0, 8.0, 8.0, 8.0 This method
602-514: Is because the most involved parents will then avoid such schools, leaving only the children of non-ambitious parents to attend. In business, league tables list the leaders in the business activity within a specific industry, ranking companies based on different criteria including revenue, earnings, and other relevant key performance indicators (such as market share and meeting customer expectations) enabling people to quickly analyze significant data. The rank methodology based on some specific indices
645-456: Is called "Low" by IBM SPSS and "min" by the R programming language in their methods to handle ties. Sometimes, competition ranking is done by leaving the gaps in the ranking numbers before the sets of equal-ranking items (rather than after them as in standard competition ranking). The number of ranking numbers that are left out in this gap remains one less than the number of items that compared equal. Equivalently, each item's ranking number
688-419: Is called "Mean" by IBM SPSS and "average" by the R programming language in their methods to handle ties. In statistics , ranking is the data transformation in which numerical or ordinal values are replaced by their rank when the data are sorted. For example, if the numerical data 3.4, 5.1, 2.6, 7.3 are observed, the ranks of these data items would be 2, 3, 1 and 4 respectively. As another example,
731-436: Is called "Sequential" by IBM SPSS and "dense" by the R programming language in their methods to handle ties. In ordinal ranking, all items receive distinct ordinal numbers, including items that compare equal. The assignment of distinct ordinal numbers to items that compare equal can be done at random, or arbitrarily, but it is generally preferable to use a system that is arbitrary but consistent, as this gives stable results if
774-589: Is equal to the number of items ranked equal to it or above it. This ranking ensures that a competitor only comes second if they score higher than all but one of their opponents, third if they score higher than all but two of their opponents, etc. Thus if A ranks ahead of B and C (which compare equal) which are both ranked ahead of D, then A gets ranking number 1 ("first"), B gets ranking number 3 ("joint third"), C also gets ranking number 3 ("joint third") and D gets ranking number 4 ("fourth"). In this case, nobody would get ranking number 2 ("second") and that would be left as
817-622: Is one of the most common systems used by policy makers and international organizations in order to assess the socio-economic context of the countries. Some notable examples include the Human Development Index (United Nations), Doing Business Index ( World Bank ), Corruption Perceptions Index (Transparency International), and Index of Economic Freedom (the Heritage Foundation). For instance, the Doing Business Indicator of
860-441: Is to inform potential applicants about British universities based on a range of criteria. Similarly, in countries like India, league tables are being developed and a popular magazine, Education World, published them based on data from TheLearningPoint.net . It is complained that the ranking of England's schools to rigid guidelines that fail to take into account wider social conditions actually makes failing schools even worse. This
903-460: Is to run down a music chart. The first record chart was founded in 1952 by Percy Dickins, who was working at New Musical Express at the time. Dickins would telephone roughly twenty UK record stores and ask what their best-selling records were that week. Several similar charts followed after the success of the NME chart, including Melody Maker and Record Retailer . According to Joel Whitburn ,
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#1733121544094946-641: The American trade publication Billboard introduced the Hot 100 on August 4, 1958. It was the first chart in the US to "fully integrate the hottest-selling and most-played pop singles." From 1958 until 1991, Billboard compiled the chart from playlists reported by radio stations, and surveys of retail sales outlets. Before 1958, several charts were published, including "Best Sellers in Stores", "Most Played by Jockeys" (later revived under
989-446: The Hot 100). A "Top 40" is used by radio to shorten playlists. A re-entry is a track which has previously entered a chart and fallen off of that chart, and then later re-appears in it; it may come about if a release is reissued or if there is a re-surge of interest in the track. Generally, any repeat entry of a track into a chart is considered a re-entry, unless the later version of the track
1032-502: The Mainstream Rock chart. Music chart A record chart , in the music industry , also called a music chart , is a ranking of recorded music according to certain criteria during a given period. Many different criteria are used in worldwide charts, often in combination. These include record sales , the amount of radio airplay , the number of downloads , and the amount of streaming activity. Some charts are specific to
1075-436: The March 21, 1981, issue of Billboard . The 50- and 60-position charts ranked airplay on album rock radio stations in the United States. Because album-oriented rock stations focused on playing tracks from albums rather than specifically released singles, these charts were designed to measure the airplay of any and all tracks from an album. Rock Albums was a survey of the top albums on American rock radio, while Top Tracks listed
1118-548: The New was the number-one song on the Greatest of All Time Mainstream Rock Songs and Shinedown was named the number-one artist on the ranking of Greatest of All Time Mainstream Rock Artists. The current number-one song on the chart is "Angel Song" by Nothing More featuring David Draiman . These are the artists with at least 8 songs that topped the Mainstream Rock chart. These are the songs that have spent at least one year (52 weeks) on
1161-585: The World Bank measures business regulations and their enforcement in 190 countries. Countries are ranked according to ten indicators that are synthesized to produce the final rank. Each indicator is composed of sub-indicators; for instance, the Registering Property Indicator is composed of four sub-indicators measuring time, procedures, costs, and quality of the land registration system. These kinds of ranks are based on subjective criteria for assigning
1204-474: The chart ever. If an act appears in some other form (for example, a solo act that appears with a band or with other act), then they are taken separately. Ranking By reducing detailed measures to a sequence of ordinal numbers , rankings make it possible to evaluate complex information according to certain criteria. Thus, for example, an Internet search engine may rank the pages it finds according to an estimation of their relevance , making it possible for
1247-545: The chart had to be physically available as a single . A chart hit is a recording, identified by its inclusion in a chart that uses sales or other criteria to rank popular releases, that ranks highly in popularity compared to other songs in the same timeframe. Chart-topper and related terms (like number one , No. 1 hit , top of the charts , chart hit , and so forth) are widely used in common conversation and in marketing, and are loosely defined. Because of its value in promoting recording artists and releases, both directly to
1290-439: The chart was reintroduced to its primary website and magazine. When R&R ceased publication in June 2009, Billboard incorporated its rock charts, Active Rock and Heritage Rock into its own publication. The radio station reporters of the two charts combine to make up the Mainstream Rock chart. In the United States, Active rock stations concentrate on current hits over classic rock standards while heritage rock stations put
1333-505: The chart; however, in some retailers' charts, new releases are included in charts as 'new entries' without a sales history in order to make them more visible to purchasers. In the UK, the official published chart is a Top 100, although a new entry can take place between positions 101–200 (also true of the Billboard Hot 100, which has a " Bubbling Under " addendum for new songs that have not yet made
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1376-593: The chart; the term "faller" is occasionally used, but not as widely as 'climber'. A one-hit wonder is an act that appears on the chart just once, or has one song that peaks exceptionally higher, or charts for exceptionally longer than other chart entries by the act. The term true one-hit wonder was the term given by the Guinness Book of British Hit Singles & Albums (and also the Billboard book Top Pop Singles ) for an act that has one top 40 hit and nothing else on
1419-413: The consumer, and by encouraging exposure on radio, TV, and other media, chart positioning has long been a subject of scrutiny and controversy. Chart compilation methodology and data sources vary, ranging from "buzz charts" (based on opinions of various experts and tastemakers ), to charts that reflect empirical data such as retail sales. Therefore, a chart-topper may be anything from an "insiders' pick" to
1462-427: The methodology. To differentiate between classic and alternative album rock radio formats, Billboard changed the name of the chart to Mainstream Rock Tracks beginning with issue dated April 13, 1996. The Mainstream Rock Tracks chart did not appear in the print edition of Billboard from its issue dated August 2, 2003, being accessible only through the magazine's subscription-based website, Billboard.biz. In late 2013,
1505-577: The name Hot 100 Airplay ), and "Most Played in Juke Boxes", and, in later collations of chart hits, the record's highest placing in any of those charts was usually reported. On November 30, 1991, Billboard introduced a new method of determining the Hot 100: "by a combination of actual radio airplay monitored electronically by Nielsen Broadcast Data Systems (BDS), additional playlists from small-market stations, and actual point-of-sale information provided by Nielsen SoundScan ." Until 1998, any songs placed on
1548-726: The ordinal data hot, cold, warm would be replaced by 3, 1, 2. In these examples, the ranks are assigned to values in ascending order, although descending ranks can also be used. League tables are used to compare the academic achievements of different institutions. College and university rankings order institutions in higher education by combinations of factors. In addition to entire institutions, specific programs, departments, and schools are ranked. These rankings usually are conducted by magazines, newspapers, governments and academics. For example, league tables of British universities are published annually by The Independent , The Sunday Times , and The Times . The primary aim of these rankings
1591-428: The property that the sum of the ranking numbers is the same as under ordinal ranking. For this reason, it is used in computing Borda counts and in statistical tests (see below). Thus if A ranks ahead of B and C (which compare equal) which are both ranked ahead of D, then A gets ranking number 1 ("first"), B and C each get ranking number 2.5 (average of "joint second/third") and D gets ranking number 4 ("fourth"). Here
1634-645: The ranking is done multiple times. An example of an arbitrary but consistent system would be to incorporate other attributes into the ranking order (such as alphabetical ordering of the competitor's name) to ensure that no two items exactly match. With this strategy, if A ranks ahead of B and C (which compare equal) which are both ranked ahead of D, then A gets ranking number 1 ("first") and D gets ranking number 4 ("fourth"), and either B gets ranking number 2 ("second") and C gets ranking number 3 ("third") or C gets ranking number 2 ("second") and B gets ranking number 3 ("third"). In computer data processing, ordinal ranking
1677-542: The ranking, the position of all those ranked below them is unaffected (i.e., a competitor only comes second if exactly one person scores better than them, third if exactly two people score better than them, fourth if exactly three people score better than them, etc.). Thus if A ranks ahead of B and C (which compare equal) which are both ranked ahead of D, then A gets ranking number 1 ("first"), B gets ranking number 2 ("joint second"), C also gets ranking number 2 ("joint second") and D gets ranking number 4 ("fourth"). This method
1720-407: The same ranking number, and then a gap is left in the ranking numbers. The number of ranking numbers that are left out in this gap is one less than the number of items that compared equal. Equivalently, each item's ranking number is 1 plus the number of items ranked above it. This ranking strategy is frequently adopted for competitions, as it means that if two (or more) competitors tie for a position in
1763-409: The strategies below for assigning the rankings may be adopted. A common shorthand way to distinguish these ranking strategies is by the ranking numbers that would be produced for four items, with the first item ranked ahead of the second and third (which compare equal) which are both ranked ahead of the fourth. These names are also shown below. In competition ranking, items that compare equal receive
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1806-513: The top individual songs being played. Mike Harrison of Billboard explained that when major artists release albums, more than one song from the album can become popular at the same time. The first number-one song on the Top Tracks chart was " I Can't Stand It " by Eric Clapton . On September 15, 1984, the Rock Albums chart was discontinued and Top Tracks was renamed Top Rock Tracks. It reduced from
1849-441: The user quickly to select the pages they are likely to want to see. Analysis of data obtained by ranking commonly requires non-parametric statistics . It is not always possible to assign rankings uniquely. For example, in a race or competition two (or more) entrants might tie for a place in the ranking. When computing an ordinal measurement , two (or more) of the quantities being ranked might measure equal. In these cases, one of
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