31:T684,html`

Este trabajo fue inspirado en una sugerencia realizada por Francisco Menses para "ver" los perfiles de notas de enseñanza media para diferentes establecimientos escolares.

Las notas de enseñanza media (NEM) tienen un impacto en el puntaje de postulación a educación superior en Chile. En el proceso de selección 2020, para enseñanza Humanístico-Científica, un NEM de 6,0 equivale a 623 puntos, y un NEM de 6.5 equivale a 729 puntos (más de 100 puntos de diferencia). Fuente: https://psu.demre.cl/proceso-admision/factores-seleccion/tabla-transformacion-nem-5-procesos-grupo-a

Es natural que surja el interés por saber si los datos muestran que "hay establecimientos en los cuales los estudiantes tienen mejores notas que en otros establecimientos".

En este documento se presenta una descripción de los perfiles de notas en distintos establecimientos, pero hay que tener cautela en la interpretación de estos datos: aquí sólo se describe la distribución de las notas y no se hace un juicio sobre la "correctitud" o la "justicia" en la asignación de las notas.

La diferencia en las notas puede tener distintas causas, entre las cuales puede haber efectivamente un distinto nivel en el apredizaje curricular de los estudiantes o una disparidad en los criterios de evaluación. El análisis de las causas queda abierto para el debate entre los lectores y/o futuros estudios con mayor profundidad en la materia.

`32:T17e1,class VisHistogramNEM { constructor(el) { this._data = []; this._margin = {left: 0, right:20, top:40, bottom: 30}; this._totalWidth = width; this._totalHeight = width/2; this.defaultTotalHeight = this._totalHeight; this.svgContainer = d3.select(el).select("svg"); this.startup(); } startup() { debugger; this._width = this._totalWidth - this._margin.left - this._margin.right; this._height = this._totalHeight - this._margin.top - this._margin.bottom; this.defaultHeight = this.defaultTotalHeight - this._margin.top - this._margin.bottom; this.svgContainer .attr("width",this._width+this._margin.left+this._margin.right) .attr("height",this._height+this._margin.top+this._margin.bottom) this.svgContainer.selectAll("g.container").remove() this.container = this.svgContainer.selectAll("g.container") .data([1]) .join("g") .attr("class", "container") .attr("transform", `translate(${this._margin.left},${this._margin.top})`) const tickFormatter = (d) => { if (this._width > 500) { return d3.format(".1f")(d) } else { return (parseInt(Math.round(d * 10)) % 2) == 0 ? d3.format(".1f")(d) : "" } } this.yScale = d3.scalePoint().range([this._height,0]); this.xScale = d3.scalePoint().range([0,this._width]).padding(0.5); this.axisX = d3.axisBottom(this.xScale) .tickFormat(tickFormatter); this.container.append("g") .attr("class", "x axis") .attr("transform", `translate(${0}, ${this._height})`) .call(this.axisX); this.personIconSize = { height: 125.199951171875, width: 50.699005126953125 } const defs = this.svgContainer.selectAll("defs") .data([null]) .join("defs"); const personDef = defs.selectAll("g#personIcon") .data([null]) .join( enter => { const personDef = enter.append("g") .attr("id", "personIcon"); personDef.append("path") .attr("d", "M52.65,125.2h19.9c3.3,0,6-2.7,6-6V86.301h3.399c3.301,0,6-2.701,6-6V43.2c0-3.3-2.699-6-6-6H43.25c-3.3,0-6,2.7-6,6v37.101c0,3.299,2.7,6,6,6h3.4V119.2C46.65,122.5,49.25,125.2,52.65,125.2z"); personDef.append("circle") .attr("cx", 62.55) .attr("cy", 15.7) .attr("r", 15.7); } ) } render(_data) { const self = this; debugger; if (_data) { let data = _data; if (_data.n > 1000) { data = this.rescaleLargeSet(_data); } const freqItems = _.map(data.frequencies, (item, key) => ({nem:+key, count:item})) const scaleMan = 0.2 const manHeight = this.personIconSize.height * scaleMan; const manWidth = this.personIconSize.width * scaleMan; this.maxCount = _.max(freqItems.map(d => d.count)); const maxY = manHeight*this.maxCount > this.defaultHeight ? this.defaultHeight : manHeight*this.maxCount; this.updateHeight(maxY); this.yScale .range([this._height, this._height-maxY]) .domain(_.range(this.maxCount)); this.xScale.domain(_.range(4,7.1,0.1).map(d => +d3.format("0.1f")(d))) const xScaleCapped = (d) => this.xScale(d) || 0 const nodes = this.studentNodes(data); nodes.forEach((d,i) => d["topHalf"] = i >= (nodes.length / 2)-1) this.container.select("g.x.axis") .call(this.axisX); const t = this.container.transition() .duration(750); const personOffset = manWidth + 2.5; const students = this.container.selectAll("g.student") .data(nodes) .join( enter => { const students = enter.append("g") .attr("class", "student") .attr("fill", d => d.topHalf ? "gold" : "lightgrey") .attr("transform", d => `translate(${xScaleCapped(d.nem)},${this.yScale(0) - manHeight})`) students .append("use") .attr("xlink:href", "#personIcon") .attr("class", "person") .attr("transform",`translate(${-personOffset}, 0) scale(${scaleMan})`) students .transition(t) .attr("transform", d => `translate(${xScaleCapped(d.nem)},${this.yScale(d.pos) - manHeight})`) }, update => update .call(update => update .transition(t) .attr("fill", d => d.topHalf ? "orange" : "grey") .attr("transform", d => `translate(${xScaleCapped(d.nem)},${this.yScale(d.pos) - manHeight})`)), exit => exit .call(exit => exit .transition(t) .attr("transform", d => `translate(${xScaleCapped(d.nem)},${this.yScale(0) - manHeight})`) .remove()) ) } } studentNodes(data) { const nodes = [] _.chain(data.frequencies) .map((count, nem) => ({nem:+nem, count:+count})) .sortBy(d => +d.nem) .each(d => _.range(d.count).forEach(pos => nodes.push({nem:d.nem, pos:pos}))) .value() return nodes; } rescaleLargeSet(data) { let data2 = data; if (data.n > 1000) { data2 = _.cloneDeep(data); _.each(data2.frequencies, (value, key) => { data2.frequencies[key] = value/1000; }) data2.n = data.n/1000 } return data2 } updateHeight(height) { this._totalHeight = height + this._margin.top + + this._margin.bottom; this.startup(); } data(_) { this._data = _; return this; } margin(_) { this._margin = _; this.startup(); return this; } width(_) { this.totalWidth = _; this._width = this.totalWidth - this._margin.left - this._margin.right; this.startup(); return this; } height(_) { this._totalHeight = _; this._height = this.totalHeight - this._margin.top - this._margin.bottom; this.startup(); return this; } }33:T251b,class VisBoxPlots { constructor(el) { this._data = []; this._margin = {left: 100, right:20, top:20, bottom: 50}; this._totalWidth = width; //this._totalHeight = selectedData.length* 40+ this._margin.top + this._margin.bottom; this._totalHeight = width / 2 + this._margin.top + this._margin.bottom; this.svgContainer = d3.select(el).select("svg"); this.startup(); } startup() { debugger; this._width = this._totalWidth - this._margin.left - this._margin.right; this._height = this._totalHeight - this._margin.top - this._margin.bottom; this.svgContainer .attr("width",this._width+this._margin.left+this._margin.right) .attr("height",this._height+this._margin.top+this._margin.bottom) this.svgContainer.selectAll("g.container").remove() this.container = this.svgContainer.selectAll("g.container") .data([1]) .join("g") .attr("class", "container") .attr("transform", `translate(${this._margin.left},${this._margin.top})`) this.color = d3.scaleOrdinal(["universidad", "ip", "cft", "none"], d3.schemeCategory10) this.yScale = d3.scalePoint().range([0, this._height]).padding(1); this.xScale = d3.scaleLinear().range([0,this._width]); this.axisX = d3.axisBottom(this.xScale); this.container.append("g") .attr("class", "x axis") .attr("transform", `translate(${0}, ${this._height})`) .call(this.axisX); this.personIconSize = { height: 125.199951171875, width: 50.699005126953125 } const defs = this.svgContainer.selectAll("defs") .data([null]) .join("defs"); const personDef = defs.selectAll("g#personIcon") .data([null]) .join( enter => { const personDef = enter.append("g") .attr("id", "personIcon"); personDef.append("path") .attr("d", "M52.65,125.2h19.9c3.3,0,6-2.7,6-6V86.301h3.399c3.301,0,6-2.701,6-6V43.2c0-3.3-2.699-6-6-6H43.25c-3.3,0-6,2.7-6,6v37.101c0,3.299,2.7,6,6,6h3.4V119.2C46.65,122.5,49.25,125.2,52.65,125.2z"); personDef.append("circle") .attr("cx", 62.55) .attr("cy", 15.7) .attr("r", 15.7); } ) this.container.append("line") .attr("class", "reference nem60") this.container.append("line") .attr("class", "reference nem65") this.container.append("line") .attr("class", "reference nem55") } render(data) { const self = this; debugger; if (data) { this.updateHeight(data) const t = this.container.transition() .duration(0); this.yScale.domain(data.map(d => d.rbd)); //this.xScale.domain([d3.min(data, d=>d.min), d3.max(data, d=>d.max)]) this.xScale.domain([4, 7]) const boxWidth = this.yScale.step()*0.8 const lineWidth = this.yScale.step()*0.1; this.container.selectAll("line.reference") .attr("stroke", "lightgrey") .attr("stroke-width", 1) .attr("y1", this._height) .attr("y2", 0) this.container.selectAll("line.reference.nem65") .attr("x1", this.xScale(6.5)) .attr("x2", this.xScale(6.5)) this.container.selectAll("line.reference.nem60") .attr("x1", this.xScale(6)) .attr("x2", this.xScale(6)) this.container.selectAll("line.reference.nem50") .attr("x1", this.xScale(5)) .attr("x2", this.xScale(5)) this.container.selectAll("line.reference.nem65") .attr("x1", this.xScale(6.5)) .attr("x2", this.xScale(6.5)) this.container.selectAll("line.reference.nem55") .attr("x1", this.xScale(5.5)) .attr("x2", this.xScale(5.5)) this.container.selectAll("line.reference.nem45") .attr("x1", this.xScale(4.5)) .attr("x2", this.xScale(4.5)) this.container.selectAll("text.label") .data(data) .join("text") .attr("class", "label") .attr("y",d => this.yScale(d.rbd)) .attr("dy",10) .attr("x",-this._margin.left) .attr("text-anchor","start") .attr("font-family","sans-serif") .attr("font-size", this._width > 500 ? 10 : 8) .text(d => `${directorio[d.rbd].NOM_RBD} (n=${d.n})` ) .each(function(d) { const maxLength = self._margin.left + self.xScale(d.p25)-30; d3.select(this).call(self.textWrapper.bind(self), maxLength); }) this.container.select("g.x.axis") .call(this.axisX); this.container.selectAll("g.item") .data(data) .join("g") .attr("class", "item") .attr("transform", d => `translate(${0}, ${this.yScale(d.rbd)})`) this.container.selectAll("g.item") .selectAll("line.boxplot.line") .data(d => [d]) .join("line") .attr("class", "boxplot line") .attr("y", d => - lineWidth/2) // .transition(t) .attr("x1", d => this.xScale(d.max)) .attr("x2", d => this.xScale(d.min)) .attr("stroke", "grey") .attr("stroke-width", 2) this.container.selectAll("g.item") .selectAll("g.infoChart") .data(d => [d]) .join("g") .attr("class", "infoChart") .each(function() { d3.select(this).call(self.infoChart.bind(self)); }) } } textWrapper(selection,maxLength) { let self = selection, textLength = self.node().getComputedTextLength(), text = self.text(); while (textLength > maxLength && text.length > 0) { text = text.slice(0, -1); self.text(text + '...'); textLength = self.node().getComputedTextLength(); } } infoChart(selection) { debugger; const scalePerson = 0.2 const personHeight = this.personIconSize.height * scalePerson; const personWidth = this.personIconSize.width * scalePerson; const personOffset = personWidth + 2.5; const manPath = "M52.65,125.2h19.9c3.3,0,6-2.7,6-6V86.301h3.399c3.301,0,6-2.701,6-6V43.2c0-3.3-2.699-6-6-6H43.25c-3.3,0-6,2.7-6,6v37.101c0,3.299,2.7,6,6,6h3.4V119.2C46.65,122.5,49.25,125.2,52.65,125.2z"; const data = selection.datum(); const pointsPre = _.range(10) const pointsPost = _.range(10) const points = _.range(20) const t = this.container.transition() .duration(750); selection.selectAll("text.p25") .data([null]) .join("text") .attr("class", "p25") .attr("text-anchor", "end") .attr("dy", "10") .attr("dx", -7) .attr("font-size", 10) .attr("font-family", "sans-serif") .attr("x", this.xScale(data.p25)) .text(d3.format(".2f")(data.p25)) selection.selectAll("text.p75") .data([null]) .join("text") .attr("class", "p75") .attr("text-anchor", "start") .attr("dy", "10") .attr("dx", 7) .attr("font-size", 10) .attr("font-family", "sans-serif") .attr("x", this.xScale(data.p75)) .text(d3.format(".2f")(data.p75)) const localScale = d3.scalePoint() .range([this.xScale(data.p25),this.xScale(data.p75)]) .domain(points) const imgs = selection.selectAll("g.img") .data(points) .join( enter => { const students = enter.append("g") .attr("class", "img") .attr("fill", "orange") .attr("transform",d => `translate(${localScale(d)},${-personHeight/2})`); students .append("use") .attr("xlink:href", "#personIcon") .attr("class", "person") .attr("transform",`translate(${-personOffset}, 0) scale(${scalePerson})`) }, update => update .call(update => update //.transition(t) .attr("transform",d => `translate(${localScale(d)}, ${-personHeight/2})`) ), exit => exit .call(exit => exit //.transition(t) .remove()) ) const imgMedian = selection.selectAll("g.imgMedian") .data(d => [null]) .join("g") .attr("class", "imgMedian") .attr("fill", "blue") .attr("opacity", 1) .attr("transform",d => { return `translate(${this.xScale(data.p50)-personOffset},${-personHeight/2}) scale(${scalePerson})` }); /* imgMedian.selectAll("path") .data([null]) .join( enter => { enter.append("path") .append("use") .attr("xlink:href", "#personIcon") .attr("transform",`translate(${-personOffset}, 20) scale(${scalePerson})`) } ) */ imgMedian.selectAll("path") .data([null]) .join("path") .attr("d", manPath) imgMedian.selectAll("circle") .data([null]) .join("circle") .attr("cx", 62.55) .attr("cy", 15.7) .attr("r", 15.7) } updateHeight(data) { this._totalHeight = data.length* 40+ this._margin.top + this._margin.bottom; this.startup(); } data(_) { this._data = _; return this; } margin(_) { this._margin = _; this.startup(); return this; } width(_) { this.totalWidth = _; this._width = this.totalWidth - this._margin.left - this._margin.right; this.startup(); return this; } height(_) { this._totalHeight = _; this._height = this.totalHeight - this._margin.top - this._margin.bottom; this.startup(); return this; } }34:T30a7,class VisBoxPlots_bckup { constructor(el) { this._data = []; this._margin = {left: 100, right:20, top:20, bottom: 50}; this._totalWidth = width; //this._totalHeight = selectedData.length* 40+ this._margin.top + this._margin.bottom; this._totalHeight = width / 2 + this._margin.top + this._margin.bottom; this.svgContainer = d3.select(el).select("svg"); this.startup(); } startup() { debugger; this._width = this._totalWidth - this._margin.left - this._margin.right; this._height = this._totalHeight - this._margin.top - this._margin.bottom; this.svgContainer .attr("width",this._width+this._margin.left+this._margin.right) .attr("height",this._height+this._margin.top+this._margin.bottom) this.svgContainer.selectAll("g.container").remove() this.container = this.svgContainer.selectAll("g.container") .data([1]) .join("g") .attr("class", "container") .attr("transform", `translate(${this._margin.left},${this._margin.top})`) this.color = d3.scaleOrdinal(["universidad", "ip", "cft", "none"], d3.schemeCategory10) this.yScale = d3.scalePoint().range([0, this._height]).padding(1); this.xScale = d3.scaleLinear().range([0,this._width]); this.axisX = d3.axisBottom(this.xScale); this.container.append("g") .attr("class", "x axis") .attr("transform", `translate(${0}, ${this._height})`) .call(this.axisX); this.personIconSize = { height: 125.199951171875, width: 50.699005126953125 } const defs = this.svgContainer.selectAll("defs") .data([null]) .join("defs"); const personDef = defs.selectAll("g#personIcon") .data([null]) .join( enter => { const personDef = enter.append("g") .attr("id", "personIcon"); personDef.append("path") .attr("d", "M52.65,125.2h19.9c3.3,0,6-2.7,6-6V86.301h3.399c3.301,0,6-2.701,6-6V43.2c0-3.3-2.699-6-6-6H43.25c-3.3,0-6,2.7-6,6v37.101c0,3.299,2.7,6,6,6h3.4V119.2C46.65,122.5,49.25,125.2,52.65,125.2z"); personDef.append("circle") .attr("cx", 62.55) .attr("cy", 15.7) .attr("r", 15.7); } ) this.container.append("line") .attr("class", "reference nem60") this.container.append("line") .attr("class", "reference nem65") this.container.append("line") .attr("class", "reference nem55") } render(data) { const self = this; debugger; if (data) { this.updateWidth(data) this.yScale.domain(data.map(d => d.rbd)); //this.xScale.domain([d3.min(data, d=>d.min), d3.max(data, d=>d.max)]) this.xScale.domain([4, 7]) const boxWidth = this.yScale.step()*0.8 const lineWidth = this.yScale.step()*0.1; this.container.selectAll("line.reference") .attr("stroke", "lightgrey") .attr("stroke-width", 1) .attr("y1", this._height) .attr("y2", 0) this.container.selectAll("line.reference.nem65") .attr("x1", this.xScale(6.5)) .attr("x2", this.xScale(6.5)) this.container.selectAll("line.reference.nem60") .attr("x1", this.xScale(6)) .attr("x2", this.xScale(6)) this.container.selectAll("line.reference.nem50") .attr("x1", this.xScale(5)) .attr("x2", this.xScale(5)) this.container.selectAll("line.reference.nem65") .attr("x1", this.xScale(6.5)) .attr("x2", this.xScale(6.5)) this.container.selectAll("line.reference.nem55") .attr("x1", this.xScale(5.5)) .attr("x2", this.xScale(5.5)) this.container.selectAll("line.reference.nem45") .attr("x1", this.xScale(4.5)) .attr("x2", this.xScale(4.5)) this.container.selectAll("text.label") .data(data) .join("text") .attr("class", "label") .attr("y",d => this.yScale(d.rbd)) .attr("dy",10) .attr("x",-this._margin.left) .attr("text-anchor","start") .attr("font-family","sans-serif") .attr("font-size", this._width > 500 ? 10 : 8) .text(d => `${directorio[d.rbd].NOM_RBD} (n=${d.n})` ) .each(function(d) { const maxLength = self._margin.left + self.xScale(d.p25)-30; d3.select(this).call(self.textWrapper.bind(self), maxLength); }) this.container.select("g.x.axis") .call(this.axisX); this.container.selectAll("g.item") .data(data) .join("g") .attr("class", "item") .attr("transform", d => `translate(${0}, ${this.yScale(d.rbd)})`) this.container.selectAll("g.item") .selectAll("line.boxplot.line") .data(d => [d]) .join("line") .attr("class", "boxplot line") .attr("y", d => - lineWidth/2) .attr("x1", d => this.xScale(d.max)) .attr("x2", d => this.xScale(d.min)) .attr("stroke", "grey") .attr("stroke-width", 2) this.container.selectAll("g.item") .selectAll("g.infoChart") .data(d => [d]) .join("g") .attr("class", "infoChart") .each(function() { d3.select(this).call(self.infoChart.bind(self)); }) } } textWrapper(selection,maxLength) { let self = selection, textLength = self.node().getComputedTextLength(), text = self.text(); while (textLength > maxLength && text.length > 0) { text = text.slice(0, -1); self.text(text + '...'); textLength = self.node().getComputedTextLength(); } } infoChart(selection) { debugger; const scalePerson = 0.2 const personHeight = this.personIconSize.height * scalePerson; const personWidth = this.personIconSize.width * scalePerson; const personOffset = personWidth + 2.5; const manPath = "M52.65,125.2h19.9c3.3,0,6-2.7,6-6V86.301h3.399c3.301,0,6-2.701,6-6V43.2c0-3.3-2.699-6-6-6H43.25c-3.3,0-6,2.7-6,6v37.101c0,3.299,2.7,6,6,6h3.4V119.2C46.65,122.5,49.25,125.2,52.65,125.2z"; const data = selection.datum(); const pointsPre = _.range(10) const pointsPost = _.range(10) const points = _.range(20) const t = this.container.transition() .duration(750); selection.selectAll("text.p25") .data([null]) .join("text") .attr("class", "p25") .attr("text-anchor", "end") .attr("dy", "10") .attr("dx", -7) .attr("font-size", 10) .attr("font-family", "sans-serif") .attr("x", this.xScale(data.p25)) .text(d3.format(".2f")(data.p25)) selection.selectAll("text.p75") .data([null]) .join("text") .attr("class", "p75") .attr("text-anchor", "start") .attr("dy", "10") .attr("dx", 7) .attr("font-size", 10) .attr("font-family", "sans-serif") .attr("x", this.xScale(data.p75)) .text(d3.format(".2f")(data.p75)) const localScale = d3.scalePoint() .range([this.xScale(data.p25),this.xScale(data.p75)]) .domain(points) const imgs = selection.selectAll("g.img") .data(points) .join( enter => { const students = enter.append("g") .attr("class", "img") .attr("fill", "orange") .attr("transform",d => `translate(${localScale(d)},${-personHeight/2})`); students .append("use") .attr("xlink:href", "#personIcon") .attr("class", "person") .attr("transform",`translate(${-personOffset}, 0) scale(${scalePerson})`) }, update => update .call(update => update .transition(t) .attr("transform",d => `translate(${localScale(d)}, ${-personHeight/2})`) ), exit => exit .call(exit => exit .transition(t) .remove()) ) const imgMedian = selection.selectAll("g.imgMedian") .data(d => [null]) .join("g") .attr("class", "imgMedian") .attr("fill", "blue") .attr("opacity", 1) .attr("transform",d => { return `translate(${this.xScale(data.p50)-personOffset},${-personHeight/2}) scale(${scalePerson})` }); /* imgMedian.selectAll("path") .data([null]) .join( enter => { enter.append("path") .append("use") .attr("xlink:href", "#personIcon") .attr("transform",`translate(${-personOffset}, 20) scale(${scalePerson})`) } ) */ imgMedian.selectAll("path") .data([null]) .join("path") .attr("d", manPath) imgMedian.selectAll("circle") .data([null]) .join("circle") .attr("cx", 62.55) .attr("cy", 15.7) .attr("r", 15.7) } /* Keep this as a backup, should be removed once fully tested */ infoChart_old(selection) { debugger; const manPath = "M52.65,125.2h19.9c3.3,0,6-2.7,6-6V86.301h3.399c3.301,0,6-2.701,6-6V43.2c0-3.3-2.699-6-6-6H43.25c-3.3,0-6,2.7-6,6v37.101c0,3.299,2.7,6,6,6h3.4V119.2C46.65,122.5,49.25,125.2,52.65,125.2z"; const data = selection.datum(); const pointsPre = _.range(10) const pointsPost = _.range(10) const points = _.range(20) selection.selectAll("text.p25") .data([null]) .join("text") .attr("class", "p25") .attr("text-anchor", "end") .attr("dy", "10") .attr("dx", -7) .attr("font-size", 10) .attr("font-family", "sans-serif") .attr("x", this.xScale(data.p25)) .text(d3.format(".2f")(data.p25)) selection.selectAll("text.p75") .data([null]) .join("text") .attr("class", "p75") .attr("text-anchor", "start") .attr("dy", "10") .attr("dx", 7) .attr("font-size", 10) .attr("font-family", "sans-serif") .attr("x", this.xScale(data.p75)) .text(d3.format(".2f")(data.p75)) const scaleMiddle = 0.2 const scaleBorders = 0.1 const localScale = d3.scalePoint() .range([this.xScale(data.p25),this.xScale(data.p75)]) .domain(points) const localScalePre = d3.scalePoint() .range([this.xScale(data.min),this.xScale(data.p25)]) .padding(1) .domain(pointsPre) const localScalePost = d3.scalePoint() .range([this.xScale(data.p75),this.xScale(data.max)]) .padding(1) .domain(pointsPost) const imgs = selection.selectAll("g.img") .data(points) .join("g") .attr("class", "img") .attr("fill", "orange") .attr("transform",d => `translate(${localScale(d)},0) scale(${scaleMiddle})`); const imgMedian = selection.selectAll("g.imgMedian") .data(d => [null]) .join("g") .attr("class", "imgMedian") .attr("fill", "blue") .attr("opacity", 0.5) .attr("transform",d => { return `translate(${this.xScale(data.p50)},0) scale(${scaleMiddle})` }); imgs.selectAll("path") .data([null]) .join("path") .attr("d", manPath) imgs.selectAll("circle") .data([null]) .join("circle") .attr("cx", 62.55) .attr("cy", 15.7) .attr("r", 15.7) imgMedian.selectAll("path") .data([null]) .join("path") .attr("d", manPath) imgMedian.selectAll("circle") .data([null]) .join("circle") .attr("cx", 62.55) .attr("cy", 15.7) .attr("r", 15.7) const imgRectMiddle = selection.select("g.img").node().getBoundingClientRect(); selection.selectAll("g.img") .attr("transform",(d,i) => { return `translate(${localScale(i)-imgRectMiddle.width-2.5},${-imgRectMiddle.height/2}) scale(0.2)`; }); selection.selectAll("g.imgMedian") .attr("transform",(d,i) => { return `translate(${this.xScale(data.p50)-imgRectMiddle.width-2.5},${-imgRectMiddle.height/2}) scale(0.2)`; }); } updateWidth(data) { this._totalHeight = data.length* 40+ this._margin.top + this._margin.bottom; this.startup(); } data(_) { this._data = _; return this; } margin(_) { this._margin = _; this.startup(); return this; } width(_) { this.totalWidth = _; this._width = this.totalWidth - this._margin.left - this._margin.right; this.startup(); return this; } height(_) { this._totalHeight = _; this._height = this.totalHeight - this._margin.top - this._margin.bottom; this.startup(); return this; } }35:Tea7,class VisAreaPlot { constructor(el) { this._data = []; this._margin = {left: 50, right:20, top:50, bottom: 20}; this._totalWidth = width; this._totalHeight = d3.max([width * 0.4,300]); this.svgContainer = d3.select(el).select("svg"); this.startup(); } startup() { this._width = this._totalWidth - this._margin.left - this._margin.right; this._height = this._totalHeight - this._margin.top - this._margin.bottom; this.svgContainer .attr("width",this._width+this._margin.left+this._margin.right) .attr("height",this._height+this._margin.top+this._margin.bottom) this.svgContainer.selectAll("g.container").remove() this.container = this.svgContainer.selectAll("g.container") .data([null]) .join("g") .attr("class", "container") .attr("transform", `translate(${this._margin.left},${this._margin.top})`) this.xScale = d3.scalePoint().range([0,this._width]); this.yScale = d3.scaleLinear().range([this._height,0]); this.axisY = d3.axisLeft(this.yScale); const curveType = d3.curveCardinal; this.interq = d3.area() .x(d => this.xScale(d.rbd)) .y0(d=> this.yScale(d.p25)) .y1(d=> this.yScale(d.p75)) .curve(curveType) this.maxmin = d3.area() .x(d => this.xScale(d.rbd)) .y0(d=> this.yScale(d.min)) .y1(d=> this.yScale(d.max)) .curve(curveType) this.meanLine = d3.line() .x(d => this.xScale(d.rbd)) .y(d => this.yScale(d.p50)) .curve(curveType) this.container.append("g") .attr("class", "y axis") .call(this.axisY); this.mmArea = this.container.append("path"); this.iqArea = this.container.append("path"); this.mean = this.container.append("path"); this.container.append("line") .attr("class", "chile p75") .attr("stroke", "red") .attr("stroke-width", 0.5) .attr("x1", 0) .attr("x2", this._width) this.container.append("line") .attr("class", "chile p25") .attr("stroke", "red") .attr("stroke-width", 0.5) .attr("x1", 0) .attr("x2", this._width) } render(data) { debugger; if (data) { this.xScale.domain(data.map(d => d.rbd)); this.yScale.domain([d3.min(data, d=>d.min), d3.max(data, d=>d.max)]) this.container.select("g.y.axis") .call(this.axisY); this.container.select("line.chile.p75") .attr("y1", this.yScale(cuartil3_chile)) .attr("y2", this.yScale(cuartil3_chile)) this.container.select("line.chile.p25") .attr("y1", this.yScale(cuartil1_chile)) .attr("y2", this.yScale(cuartil1_chile)) this.mmArea .datum(data) .attr("fill", "lightgrey") .attr("stroke", "lightgrey") .attr("stroke-width", 1.5) .attr("d", this.maxmin) this.iqArea .datum(data) .attr("fill", "orange") .attr("stroke", "orange") .attr("stroke-width", 1.5) .attr("d", this.interq) this.mean .datum(data) .attr("fill", "none") .attr("stroke", "blue") .attr("stroke-width", 1) .attr("d", this.meanLine) } } data(_) { this._data = _; return this; } margin(_) { this._margin = _; this.startup(); return this; } width(_) { this.totalWidth = _; this._width = this.totalWidth - this._margin.left - this._margin.right; this.startup(); return this; } height(_) { this._totalHeight = _; this._height = this.totalHeight - this._margin.top - this._margin.bottom; this.startup(); return this; } }36:[] 2f:{"title":"Distribución de notas de enseñanza media (NEM)","cells":[{"id":0,"value":"md`# Distribución de notas de enseñanza media (NEM)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1401,"value":"html`Ernesto Laval (@elaval) TIDE y Francisco Meneses (@fjmenese)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1399,"value":"$31","pinned":false,"hidden":false,"mode":"ojs"},{"id":1420,"value":"html`\n

Distribución de notas NEM en todo Chile

\nUtilizando datos públicos del Ministerio de Educación para estudiantes egresados de enseñanza media el año 2017, se obtine la siguinete descripción de la distribución de puntajes NEM:\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

\nAutor: Ernesto Laval (@elaval)
\nDatos de estudiantes egresados de enseñanza media para jóvenes el año 2017 en todo Chile.\nFuente de datos: Datos abiertos MINEDUC
Numero de estudiantes	${d3.format(\".3s\")(dataChile.n)}
Nota mínima	${d3.format(\".2f\")(dataChile.min)}
Nota máxima	${d3.format(\".2f\")(dataChile.max)}
Mediana (50% estudiantes)	${d3.format(\".2f\")(dataChile.p50)}
Cuartil1 (25% estudiantes)	${d3.format(\".2f\")(dataChile.p25)}
Cuartil3 (75% estudiantes)	${d3.format(\".2f\")(dataChile.p75)}

\n\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1657,"value":"html`

La siguiente visualización refleja esta distribución:

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1469,"value":"elBoxPlotsNacional = html`\n\n\n\n

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1467,"value":"html`\n

La línea gris ilustra el rango entre el valor mínimo y el máximo de NEM.

El sector naranja ilustra el rango de NEM entre el cuartil 1 y el cuartil 3. Este rango corresponde al 50% de los estudiantes que se encuentran entre el 25% inferior y el 25% superior. Si en un curso hubiese 40 estudiantes, corresponde a los 20 estudiantes que se encuentran \"al medio\" (entre los 10 inferiores y los 10 superiores). Este rango es una medida útil para ilustrar la dispersión de los valores, evitando el efecto de casos extremos (outliers)

\nLa figura azul ilustra la mediana (el 50% de los estudiantes tiene un NEM superior o inferior a este valor).`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1496,"value":"html`

Histograma de frecuencias: La siguiente visualización ilustra la cantidad de estudiantes que hay para cada valor de NEM en todo Chile.
Para el caso de Chile, cada figura representa a 1000 estudiantes, en los histogramas por establecimientos - más abajo - cada figura representa a 1 estudiante.

\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1422,"value":"\n\n\nelDistribucionNacional = html`\n\n\n\n\n

\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1676,"value":"html`

Las figuras amarillas representan la mitad superior de los estudiantes (estudiantes sobre la mediana) y las figuras grises representan la mitad inferior de los estudiantes (estudiantes bajo la mediana).

En una distribución \"normal\", esta debiese ser una figura simétrica en torno al centro con una mayor cantidad de estudiantes agrupados al centro y menor cantidad de estudiantes hacia los extremos

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":561,"value":"html`

Consulta por establecimientos específicos

\nEn las siguientes secciones puedes seleccionar establecimiento (luego de ddefinir una región, una comuna) para ver la distribución de NEM.`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1119,"value":"viewof targetRegion = select({\n title: \"Región\",\n description: \"Seleccione una región. Nota: No se incluye Región del Ñuble (datos de directorio 2018 no la incoproran)\",\n options: [\n{value:\"15\", label:\"Región de Arica y Parinacota\"},\n{value:\"1\", label:\"Región de Tarapacá\"},\n{value:\"2\", label:\"Región de Antofagasta\"},\n{value:\"3\", label:\"Región de Atacama\"},\n{value:\"4\", label:\"Región de Coquimbo\"},\n{value:\"5\", label:\"Región de Valparaíso\"},\n{value:\"6\", label:\"Región de O’Higgins\"},\n{value:\"7\", label:\"Región del Maule\"},\n//{value:\"16\", label:\"Región de Ñuble\"},\n{value:\"8\", label:\"Región del Biobío\"},\n{value:\"9\", label:\"Región de La Araucanía\"},\n{value:\"14\", label:\"Región de Los Ríos\"},\n{value:\"10\", label:\"Región de Los Lagos\"},\n{value:\"11\", label:\"Región de Aysén\"},\n{value:\"12\", label:\"Región de Magallanes\"},\n{value:\"13\", label:\"Región Metropolitana\"}\n],\n value: \"13\"\n})\n","pinned":false,"hidden":false,"mode":"ojs"},{"id":1134,"value":"viewof targetComuna = select({\n title: \"Comuna\",\n description: \"Seleccione una comuna\",\n options: _.chain(totalComunas)\n .filter(d => d.region == targetRegion)\n .map(d => d.comuna)\n .sortBy()\n .value(),\n value:\"SANTIAGO\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":1167,"value":"viewof targetRBD = select({\n title: \"Establecimiento\",\n description: \"Seleccione una establecimiento de enseñanza media. Nota: solo se incluyen establecimientos con 20 o más estudiantes egresados en 2017.\",\n options: _.chain(data)\n .filter(d => directorio[d.rbd] && directorio[d.rbd].NOM_COM_RBD == targetComuna)\n .sortBy(d => directorio[d.rbd].NOM_RBD)\n .map(d => ({\n label:`${directorio[d.rbd].NOM_RBD} (${d.rbd})`,\n value: d.rbd\n }))\n .value(),\n value:\"8485\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":963,"value":"{\n const targetData = _.find(data, d => d.rbd == targetRBD)\n return html`\n

${directorio[targetRBD].NOM_RBD} ${ targetRBD !== \"-1\" ? ` | ${directorio[targetRBD].NOM_COM_RBD}`: ``} (n=${d3.format(\",\")(targetData.n)})

\n\n`\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1517,"value":"html`

Si dividimos a los estudiantes en 2 mitades, el valor NEM que divide a ambos grupos (la mediana) es ${d3.format(\".2f\")(targetData.p50)}. Si tomamos al 50% de los estudiantes que está al medio (entre el 25% superior y el 25% inferior) el valor NEM de este grupo va entre ${d3.format(\".2f\")(targetData.p25)} y ${d3.format(\".2f\")(targetData.p75)}

\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1504,"value":"elBoxPlotTargetSchool = html`\n\n\n\n\n

\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1527,"value":"html`

Histograma de frecuencias para ${directorio[targetRBD].NOM_RBD}
Cantidad de estudiantes por cada valor NEM
(el 50% superior de los estudiantes se representa en color amarillo):

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":588,"value":"elHistogramNEM = html`\n\n\n\n\n

\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1202,"value":"html`\nDistribución de estudiantes en cada establecimiento de la comuna de ${targetComuna}\n

Si en el establecimiento egresaran 40 estudiantes, los 20 del medio se distribuyen en el rango de notas ilustrado por las figuras de color naranja (cuartil 1 a 3). La figura azul corresponde a la mediana. La línea gris ilustra el rango entre la nota menor y mayor.

\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":223,"value":"elBoxPlots = html`\n\n\n\n

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1345,"value":"html`

Forma de la distribución de puntajes NEM en la comuna de ${targetComuna}

Esta es una visualización experimental que se construyó con los datos de distribución de nota NEM para los distintos establecimientos de la comuna seleccionada. Los establecimientos se ordenan de izquierda a derecha, de mayor a menor mediana, y el eje vertical corresponde a valores de NEM.

\nEl área gris representa el rango entre la nota máxima y mínima, el área naranja el rango entre el 75% superior y el 25% inferior (cuartil 3 y 1), y la línea azul la nota del 50% (mediana).\nLas líneas rojas corresponden al cuartil 1 y cuartil 3 de todo chile (${dataChile.p25} y ${dataChile.p75} respectivamente). Cuando el área naranja se ubica entre las dos líneas rojas, corresponden a establecimientos con una distribución intercuartil (cuartil 1 y 3) similar a la de Chile.\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":10,"value":"elAreaPlot = html`\n\n

\n\n

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1349,"value":"html`

Tabla con datos de distribución NEM para establecimientos de la comuna de ${targetComuna}`","pinned":false,"hidden":false,"mode":"ojs"},{"id":180,"value":"html`\n\n\n\n\n\n\n\n\n\n\n${selectedData.map((d,i) => `\n\n\n\n\n\n\n\n\n\n\n`)}\n\n
Establecimiento Min Q1 (25%) Mediana (50%) Q3 (75%) Max n
${i}) ${directorio[d.rbd] && directorio[d.rbd].NOM_RBD || \"CHILE\"} (${directorio[d.rbd] && directorio[d.rbd].NOM_COM_RBD}) ${d.rbd} ${d3.format(\".2f\")(d.min)} ${d3.format(\".2f\")(d.p25)} ${d3.format(\".2f\")(d.p50)} ${d3.format(\".2f\")(d.p75)} ${d3.format(\".2f\")(d.max)} ${d3.format(\".0f\")(d.n)}
\nAutor: Ernesto Laval (@elaval)
\nDatos de establecimientos con más de ${minN} estudiantes egresados de enseñanza media el año 2017 en la comuna de ${targetComuna}
\nFuente de datos: Datos abiertos MINEDUC
`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1786,"value":"md`\n### Notas:\n* Fuente de datos: datos abiertos del Ministerio de Educación de Chile\n* Se presentan datos correspondientes a los estudiantes egresados de enseñanza media para jóvenes el año 2017 (se consideran sólo estudiantes para los que el MINEDUC publica datos de registro NEM).\n* En el listado y selección de establecimientos individuales, sólo se incluyen establecimientos que tengan 20 o más estudiantes egresados el año 2017 (para evitar anomalías cuando el número de estudiantes es muy reducido). \n\nAutor: Ernesto Laval (@elaval). \n_ Ingeniero Civil Industrial de la P. Universidad Católica, PhD en Educación de la Universidad de Bristol _\n\n\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1788,"value":"html`
Esta página se ofrece en forma gratuita. Si la encuentras de utilidad y crees que le puede interesar a otras personas, agradecemos tu ayuda con la difusión en redes sociales mencionando la dirección \"https://observablehq.com/@elaval/distribucion-de-notas-de-ensenanza-media-nem\"
`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1790,"value":"md`\nTe puede interesar también ver:\n* [Distribución de matrícula en Educación Superior](https://observablehq.com/@elaval/distribucion-de-matricula-en-educacion-superior)\n* [La trampa de los promedios](https://observablehq.com/@elaval/la-trampa-de-los-promedios)\n* [Educación Superior en Chile según el perfil de sus estudiantes](https://observablehq.com/@elaval/universidades-chilenas-segun-perfil-de-estudiantes)\n*\n\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1575,"value":"html``","pinned":false,"hidden":false,"mode":"ojs"},{"id":85,"value":"minN = 20","pinned":false,"hidden":false,"mode":"ojs"},{"id":1249,"value":"md`### Visualizaciones`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1747,"value":"{\n visBoxPlotsNacional.render([dataChile])\n return md`Render BoxPlotsNacional`\n} ","pinned":false,"hidden":false,"mode":"ojs"},{"id":1430,"value":"{\n visHistogramNEM_Nacional.render(dataChile)\n return md`Render visHistogramNEM_Nacional`\n} ","pinned":false,"hidden":false,"mode":"ojs"},{"id":1511,"value":"\n{\n visBoxPlotTargetSchool.render(_.filter(selectedData, d => d.rbd == targetRBD))\n return md`Render BoxPlotTargetSchool`\n} ","pinned":false,"hidden":false,"mode":"ojs"},{"id":599,"value":"{\n visHistogramNEM.render(_.find(selectedData, d => d.rbd == targetRBD))\n return md`Render HistogramaNEM`\n} \n","pinned":false,"hidden":false,"mode":"ojs"},{"id":237,"value":"{\n visBoxPlots.render(selectedData) \n return md`Render Boxplots`\n} \n","pinned":false,"hidden":false,"mode":"ojs"},{"id":24,"value":"{\n visAreaPlot.render(selectedData) \n return md`Render AreaPlot`\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1506,"value":"visBoxPlotTargetSchool = new VisBoxPlots(elBoxPlotTargetSchool)","pinned":false,"hidden":false,"mode":"ojs"},{"id":1471,"value":"visBoxPlotsNacional = new VisBoxPlots(elBoxPlotsNacional)","pinned":false,"hidden":false,"mode":"ojs"},{"id":1425,"value":"visHistogramNEM_Nacional = new VisHistogramNEM(elDistribucionNacional)","pinned":false,"hidden":false,"mode":"ojs"},{"id":591,"value":"visHistogramNEM = new VisHistogramNEM(elHistogramNEM)","pinned":false,"hidden":false,"mode":"ojs"},{"id":228,"value":"visBoxPlots = new VisBoxPlots(elBoxPlots)","pinned":false,"hidden":false,"mode":"ojs"},{"id":19,"value":"visAreaPlot = new VisAreaPlot(elAreaPlot)","pinned":false,"hidden":false,"mode":"ojs"},{"id":589,"value":"$32","pinned":false,"hidden":false,"mode":"ojs"},{"id":1684,"value":"$33","pinned":false,"hidden":false,"mode":"ojs"},{"id":226,"value":"$34","pinned":false,"hidden":false,"mode":"ojs"},{"id":13,"value":"$35","pinned":false,"hidden":false,"mode":"ojs"},{"id":1235,"value":"md`\n### Datos`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1758,"value":"dataSample = data.filter(d => ([-1, 8485, 9071, 8923]).indexOf(+d.rbd) >= 0)","pinned":false,"hidden":false,"mode":"ojs"},{"id":1521,"value":"targetData = _.find(data, d => d.rbd == targetRBD)","pinned":false,"hidden":false,"mode":"ojs"},{"id":1451,"value":"dataChile = data.find(d => d.rbd == -1)","pinned":false,"hidden":false,"mode":"ojs"},{"id":102,"value":"cuartil3_chile=5.98","pinned":false,"hidden":false,"mode":"ojs"},{"id":96,"value":"cuartil1_chile=5.25","pinned":false,"hidden":false,"mode":"ojs"},{"id":1127,"value":"totalComunas = _.chain(directorio ).map((d,rbd) => ({comuna:d.NOM_COM_RBD, region:d.COD_REG_RBD})).uniqBy(d=>d.comuna).value()","pinned":false,"hidden":false,"mode":"ojs"},{"id":332,"value":"selectedData = {\n return data.filter(d => directorio[d.rbd] && directorio[d.rbd].NOM_COM_RBD == targetComuna)\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1438,"value":"data.find(d => d.rbd == -1)","pinned":false,"hidden":false,"mode":"ojs"},{"id":201,"value":"data = _.chain(data_).filter(d => d.n >= minN).sortBy(d => -d.p50).value()","pinned":false,"hidden":false,"mode":"ojs"},{"id":1007,"value":"directorio[\"-1\"] = ({NOM_COM_RBD:\"Todo Chile\", NOM_RBD:\"CHILE\"})","pinned":false,"hidden":false,"mode":"ojs"},{"id":108,"value":"directorio = {\n const directorio = {};\n const directorioText = await d3.text(\"https://gist.githubusercontent.com/elaval/6fe1a566cf354149c39af04a3df03dd4/raw/a6072bf552691039bd60cf9d8a0790290eff876c/Directorio_Oficial_EE_2018_20180430_PUBL.txt\");\n const directorioData = d3.dsvFormat(\";\").parse(directorioText);\n directorioData.forEach(d => directorio[d.RBD] = d);\n return directorio\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":8,"value":"data_ = d3.json(\"https://gist.githubusercontent.com/elaval/6fe1a566cf354149c39af04a3df03dd4/raw/92bfbf8ed27295e451d489c1dca17af3e434b549/distribucion_NEM_2017.json\")","pinned":false,"hidden":false,"mode":"ojs"},{"id":1708,"value":"data_.find(d => d.rbd==\"8463\")","pinned":true,"hidden":false,"mode":"ojs"},{"id":1238,"value":"md`\n### Librerías`","pinned":false,"hidden":false,"mode":"ojs"},{"id":983,"value":"html`\n\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":578,"value":"style_bootstrap","pinned":false,"hidden":false,"mode":"ojs"},{"id":49,"value":"_ = require(\"lodash\")","pinned":true,"hidden":false,"mode":"ojs"},{"id":4,"value":"d3 = require(\"d3\")","pinned":true,"hidden":false,"mode":"ojs"},{"id":1771,"value":"ga = {\n const ga = await require(\"https://www.google-analytics.com/analytics.js\").catch(() => window.ga);\n ga(\"create\", \"UA-143020946-6\", \"auto\");\n ga(\"send\", \"pageview\", html``.pathname);\n return ga;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1773,"value":"{\n targetComuna;\n ga('send', 'event', 'Selector Comuna', `${targetComuna}`,'Selected' );\n return md`gaEvtComuna`\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1775,"value":"{\n targetRBD;\n ga('send', 'event', 'Selector RBD', `${targetRBD} - ${directorio[targetRBD].NOM_RBD} ${ targetRBD !== \"-1\" ? ` | ${directorio[targetRBD].NOM_COM_RBD}`: ``}`,'Selected' );\n return md`gaEvtRdb`\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":262,"value":"import {slider, autoSelect, select} from \"@jashkenas/inputs\"\n","pinned":false,"hidden":false,"mode":"ojs"},{"id":141,"value":"import { groupedSelect, style_bootstrap } from \"@elaval/utils\"","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W36","stdlib":"1","titling":"auto"}