メイン qt3.html   Last modified: Sep 01, 2009
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<script language="JavaScript">
<!--

function zfi(w, i)
{
  var ww = (""+i).length
  ww = ww > w ? 0 : w-ww
  return "0000000000000".substring(0, ww)+i
}

function names(str, i)
{
  return str+zfi(2, i+1)
}

function n_sol(m, ne)
{
  var i
  if (isNaN(i = parseFloat(ne)) || i < 1 || i > m) {
    return m
  }
  else {
    return i
  }
}

var ITEM = 1, CATEGORY = 2

var itemnum, itemnum2, varno

function sort(x, n, ip)
{
  var min, minp, i, j, temp
  for (i = 0; i < n-1; i++) {
    min = x[i][ip]
    minp = i
    for (j = i+1; j < n; j++) {
      if (x[j][ip] < min) {
        min = x[j][ip]
        minp = j
      }
    }
    if (i != minp) {
      temp = x[i][ip]
      x[i][ip] = min
      x[minp][ip] = temp
    }
  }
  for (i = 0; i < n; i++) {
    if (x[i][ip] != i+1) {
      return 0
    }
  }
  return 1
}

function itemno(item, cat, junjo, data, nc, value)
{
  var i, j, k, nobe, flag0 = 0, flag, work, catj

  for (j = 0; j < item; j++) {
    catj = flag = 0
    for (i = 0; i < nc; i++) {
      work = data[i][j]
      if (Math.floor(work) != work) {
        if (flag == 0) {
          printf("\nアイテム変数 %s の値が正整数値ではありません。\n", names("Var", j))
          flag = flag0 = 1
        }
      }

      value[catj][j] = work
      for (k = 0; k <= catj; k++) {
        if (value[k][j] == work) {
          break
        }
      }
      if (k == catj) {
        catj++
        if (catj > 100) {
          printf("アイテム変数 %s の取る値の種類が多すぎます。\n", names("Var", j))
        }
      }
    }
    cat[j] = catj
    if (catj == 1) {
      printf("アイテム変数 %s は,一種類の値しか取りません。この変数は分析に使用しないでください。\n", names("Var", j))
      flag0 = 1
    }
    else if (sort(value, catj, j) == 0) {
      for (i = 0; i < nc; i++) {
        work = data[i][j]
        for (k = 0; k < catj; k++)  {
          if (work != k+1 && work == value[k][j]) {
            data[i][j] = k+1
            break
          }
        }
      }
    }
  }

  if (flag0) {
    return -99
  }
  else {
    nobe = 0
    for (i = 0; i < item; i++) {
      junjo[i] = nobe
      nobe += cat[i]
    }
    return nobe
  }
}

function eig000(r, vec, val, n, fnorm, ne0)
{
  var i, j, naxis, temp

  naxis = 0
  eigen(r, n, n, 1e-10 , val, vec)
  for (j = 0; j < n-1; j++) {
    val[j] = val[j+1]
    if (val[j] > 1e-5) {
      naxis++
    }
    temp = 0.0
    for (i = 0; i < n; i++) {
      temp += vec[j+1][i]*vec[j+1][i]
    }
    temp = Math.sqrt(fnorm/temp)
    for (i = 0; i < n; i++) {
      vec[j][i] = vec[j+1][i]*temp
    }
  }
  printf("\n  解       固有値     相関係数\n")
  for (i = 0; i < naxis; i++) {
    printf("%4i%13.5f%13.5f\n", i+1, val[i], Math.sqrt(val[i]))
  }
  return n_sol(naxis, ne0)
}

function part1(nc, caseno, nobe, ncc, ni, datamat, r, fnorm, val, vec, scr, ne0)
{
  var num, i, ie, is, j, k, naxis, naxis2, sum, temp

  for (j = 0; j < nobe; j++) {
    for (k = 0; k <= j; k++) {
    r[k][j] = 0
    }
  }

  for (i = 0; i < nc; i++) {
    temp = 1.0/ncc[i]
    for (j = 0; j < nobe; j++) {
      if (datamat[i][j] == 1) {
        for (k = 0; k <= j; k++) {
          if (datamat[i][k] == 1) {
            r[k][j] += temp
          }
        }
      }
    }
  }

  for (j = 0; j < nobe; j++) {
    for (k = 0; k <= j; k++) {
      r[j][k] = r[k][j] /= Math.sqrt(ni[j]*ni[k])
    }
  }
  naxis = eig000(r, vec, val, nobe, fnorm, ne0)

  for (i = 0; i < nobe; i++) {
    temp = 1.0/Math.sqrt(ni[i])
    for (j = 0; j < naxis; j++) {
      vec[j][i] *= temp
    }
  }
  printf("\n***** カテゴリースコア *****\n")

  for (is = ie = 0; ie != naxis; is = ie) {
    ie = (ie+Math.floor((80-13)/10) < naxis ? ie+Math.floor((80-13)/10) : naxis) 
    printf("\nアイテム-カテゴリー")
    for (i = is; i < ie; i++) {
      printf("%"+(i == is ? 9 : 10)+"s", names("Axis", i))
    }
    printf((itemnum[0] == 0) ? "\n\n" : "\n")
    for (i = 0; i < nobe; i++) {
      if (itemnum[i] == 0) {
        printf("     %8s     ", names("Var", varno[i]))
        for (j = is; j < ie; j++) {
          printf("%10.5f", vec[j][i])
        }
        printf("\n")
      }
      else if (itemnum[i] == 1) {
        printf("\n%3i %8s %3s  ", i+1, names("Var", varno[i]), itemnum2[i])
        for (j = is; j < ie; j++) {
          printf("%10.5f", vec[j][i])
        }
        printf("\n")
      }
      else {
        printf("%3i          %3s  ",
               i+1, itemnum2[i])
        for (j = is; j < ie; j++) {
          printf("%10.5f", vec[j][i])
        }
        printf("\n")
      }
    }
  }
  naxis2 = (naxis < 5 ? naxis : 5) 
  num = 0
  printf("\n***** サンプルスコア *****\n")
  for (is = ie = 0; ie != naxis; is = ie) {
    ie = ((ie+Math.floor((80-7)/10)) < naxis ? (ie+Math.floor((80-7)/10)) : naxis) 
    printf("\nケース ")
    for (i = is; i < ie; i++) {
      printf("%10s", names("Axis", i))
    }
    printf("\n\n")
    for (i = 0; i < nc; i++) {
      for (j = is; j < ie; j++) {
        sum = 0.0
        for (k = 0; k < nobe; k++) {
          if (datamat[i][k] == 1) {
            sum += datamat[i][k]*vec[j][k]
          }
        }
        scr[j] = sum/(Math.sqrt(val[j])*ncc[i])
      }
      printf("%6i ", caseno[i]+1)
      for (j = is; j < ie; j++) {
        printf("%10.5f", scr[j])
      }
      printf("\n")
    }
  }
}

function part2(nc, caseno, nobe, ncc, ni, datamat, r, fnorm, val, vec, scr, ne0)
{
  var num, i, ie, is, j, k, naxis, naxis2, sum, temp

  for (j = 0; j < nc; j++) {
    for (k = 0; k <= j; k++) {
      r[k][j] = 0
    }
  }

  for (i = 0; i < nobe; i++) {
    temp = 1.0/ni[i]
    for (j = 0; j < nc; j++) {
      if (datamat[j][i] == 1) {
        for (k = 0; k <= j; k++) {
          if (datamat[k][i] == 1) {
            r[k][j] += temp
          }
        }
      }
    }
  }
  for (j = 0; j < nc; j++) {
    for (k = 0; k <= j; k++) {
      r[j][k] = r[k][j] /= Math.sqrt(ncc[j]*ncc[k])
    }
  }
  naxis = eig000(r, vec, val, nc, fnorm, ne0)
  for (i = 0; i < nc; i++) {
    temp = 1.0/Math.sqrt(ncc[i])
    for (j = 0; j < naxis; j++) {
      vec[j][i] *= temp
    }
  }
  naxis2 = (naxis < 5 ? naxis : 5) 
  num = 0
  printf("\n***** サンプルスコア *****\n")
  ie = 0
  for (is = ie = 0; ie != naxis; is = ie) {
    ie = ((ie+Math.floor((80-7)/10)) < naxis ? (ie+Math.floor((80-7)/10)) : naxis) 
    printf("\nケース ")
    for (i = is; i < ie; i++) {
      printf("%10s", names("Axis", i))
    }
    printf("\n\n")
    for (i = 0; i < nc; i++) {
      printf("%6i ", caseno[i]+1)
      for (j = is; j < ie; j++) {
        printf("%10.5f", vec[j][i])
      }
      printf("\n")
    }
  }
  printf("\n***** カテゴリースコア *****\n")
  for (is = ie = 0; ie != naxis; is = ie) {
    ie = (ie+Math.floor((80-13)/10) < naxis ? ie+Math.floor((80-13)/10) : naxis) 
    printf("\nアイテム-カテゴリー")
    for (i = is; i < ie; i++) {
      printf("%"+(i == is ? 9 : 10)+"s", names("Axis", i))
    }
    printf((itemnum[0] == 0) ? "\n\n" : "\n")
    for (i = 0; i < nobe; i++) {
      for (j = is; j < ie; j++) {
        sum = 0.0
        for (k = 0; k < nc; k++) {
          if (datamat[k][i] == 1) {
            sum += datamat[k][i]*vec[j][k]
          }
        }
        scr[j] = sum/(Math.sqrt(val[j])*ni[i])
      }
      if (itemnum[i] == 0) {
        printf("     %8s     ", names("Var", varno[i]))
        for (j = is; j < ie; j++) {
          printf("%10.5f", scr[j])
        }
        printf("\n")
      }
      else if (itemnum[i] == 1) {
        printf("\n%3i %8s %3s  ", i+1, names("Var", varno[i]), itemnum2[i])
        for (j = is; j < ie; j++) {
          printf("%10.5f", scr[j])
        }
        printf("\n")
      }
      else {
        printf("%3i          %3s  ", i+1, itemnum2[i])
        for (j = is; j < ie; j++) {
          printf("%10.5f", scr[j])
        }
        printf("\n")
      }
    }
  }
}

function calc(data_string, ne0)
{
  var datamat, cat, junjo, ncc, ni, caseno, i, ierr, iswdf = ITEM
  var value, item, xx, j, nccat, nobe, ncase = 0, r, vec, scr, val, fnorm, work
  var nc, nv, data

  printf("★ 数量化 III 類 ★\n\n")
  if ((data = getdata(data_string, 0)) == false) return
  nc = data.length
  nv = data[0].length
  
  if (nc < 2) {
    printf("ケース数が1以下です\n")
    return
  }

  item = nv
  ncc = makeVector(nc)
  for (i = 0; i < nc; i++) {
    ncc[i] = 0
  }
  iswdf = CATEGORY
  for (i = 0; i < nc; i++) {
      for (j = 0; j < item; j++) {
        work = data[i][j]
        if (Math.floor(work) != work) {
          printf("整数値でないデータがあります\n")
          return
        }
        if (work != 0 && work != 1) {
          iswdf = ITEM
          break
        }
      }
      if (iswdf == ITEM) {
        break
      }
  }
  if (iswdf == ITEM) {
    cat = makeVector(item)
    junjo = makeVector(item)
    value = makeMatrix(100, item)
    nobe = itemno(item, cat, junjo, data, nc, value)
    if (nobe <= 0) {
      printf("データをチェックしてください\n")
      return
    }
    else if (nobe > 500) {
      printf("延べカテゴリー数が多すぎます\n")
      return;
    }
  }
  else {
    nobe = item
  }
  varno = makeVector(nobe)
  itemnum = makeVector(nobe)
  itemnum2 = makeVector(nobe)
  ni = makeVector(nobe)
  datamat = makeMatrix(nc, nobe)
  val = makeVector(nobe)
  scr = makeVector(nobe)
  r = makeMatrix(nobe, nobe)
  vec = makeMatrix(nobe, nobe)
  caseno = makeVector(nc)

  for (i = 0; i < nobe; i++) {
    ni[i] = 0
  }

  for (i = 0; i < nc; i++) {
      if (iswdf == ITEM) {
        for (j = 0; j < nobe; j++) {
          datamat[ncase][j] = 0
        }
        for (j = 0; j < item; j++) {
          xx = data[i][j]
          datamat[ncase][junjo[j]+xx-1] = 1
        }
      }
      else {
        for (j = 0; j < nobe; j++) {
          xx = data[i][j]
          if (xx != 1 && xx != 0) {
            printf("0・1以外の数値がありました\n")
            return
          }
          datamat[ncase][j] = xx
        }
      }
      caseno[ncase] = i
      ncase++
  }

  printf("有効ケース数:  %i\n", ncase)
  if (iswdf == ITEM) {
    printf("延べカテゴリー数: %d\n\n", nobe)
    printf("アイテム  カテゴリー数\n")
    for (i = 0; i < item; i++) {
      printf("%8s %9d\n", names("Var", i), cat[i])
    }
  }
  if (iswdf == ITEM) {
    nccat = 0
    for (i = 0; i < item; i++) {
      for (j = 0; j < cat[i]; j++) {
        itemnum[nccat] = j+1
        itemnum2[nccat] = value[j][i]
        varno[nccat] = i
        nccat++
      }
    }
  }
  else {
    for (i = 0; i < nobe; i++) {
      itemnum[i] = 0
      varno[i] = i
    }
  }

  for (i = 0; i < ncase; i++) {
    for (j = 0; j < nobe; j++) {
      if (datamat[i][j] == 1) {
        ncc[i]++
        ni[j]++
      }
    }
  }
  ierr = false
  if (iswdf == CATEGORY) {
    for (i = 0; i < nobe; i++) {
      if (ni[i] == 0) {
        printf("\nカテゴリー変数 %s への反応がゼロです。\n", names("Var", i))
        ierr = true
      }
    }
  }
  for (i = 0; i < ncase; i++) {
    if (ncc[i] == 0) {
      printf("\nケース %i の反応がゼロです。\n", i+1)
      ierr = true
    }
  }
  if (ierr == true) {
    return
  }
  fnorm = 0.0
  for (i = 0; i < nobe; i++) {
    fnorm += ni[i]
  }
  if (nc > nobe) {
    part1(ncase, caseno, nobe, ncc, ni, datamat, r, fnorm, val, vec, scr, ne0)
  }
  else {
    part2(ncase, caseno, nobe, ncc, ni, datamat, r, fnorm, val, vec, scr, ne0)
  }
}
//-->
</script>
</head>

<body bgcolor="#ffffff">
<font size="+2"><b>数量化 III 類</b></font> <a  href="src/qt3.html"><img src="png/src.png" width=35 height=11 alt="src" align=top></a>     Last modified: Jun 01, 2006<hr noshade><p>
<font color="#ff0000" size="+2">以下のプログラムのサポートは終了しました。自己責任でお使い下さい。</font>

<form name=Result>
<script language="JavaScript">
<!--
//-->JavaScript がサポートされていないブラウザですか?
</script>
<table><tr>
<td><input type="button" name="calcurate" value="計算開始" onClick="calc(this.form.data.value, this.form.ne.value)">  </td>
<td><input type="button" name="clear" value="入力欄クリア" onClick="this.form.data.value=this.form.ne.value=''">  </td>
<td><input type="button" name="clear" value="出力欄クリア" onClick="this.form.result.value=''">  </td>
<td nowrap><img src="../gra/button3.png" width=9 height=9 alt="・"> <a href="exa/qt3.html">使用法</a></td>
</tr></table>

<p>
求める解の個数<input name="ne" value="" size=5>(省略時は理論的に可能なだけ全部)<br>
入力欄<br><textarea name="data" ROWS=20 COLS=80></textarea><p>
出力欄<br><textarea name="result" ROWS=30 COLS=80></textarea>
</form>

<p><hr noshade>
<img src="../gra/button3.png" width=9 height=9 alt="・"> <a href="../lecture/Qt/qt3.html">手法の解説</a><br>
<img src="../gra/button3.png" width=9 height=9 alt="・"> <A HREF="javascript:history.go(-1)">直前のページへ戻る</A>  <img src="../gra/button3.png" width=9 height=9 alt="・"> <a href="../mail.html">E-mail to Shigenobu AOKI</a>
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