JPS6144330B2 - - Google Patents
Info
- Publication number
- JPS6144330B2 JPS6144330B2 JP9765178A JP9765178A JPS6144330B2 JP S6144330 B2 JPS6144330 B2 JP S6144330B2 JP 9765178 A JP9765178 A JP 9765178A JP 9765178 A JP9765178 A JP 9765178A JP S6144330 B2 JPS6144330 B2 JP S6144330B2
- Authority
- JP
- Japan
- Prior art keywords
- scale
- cumulative probability
- samples
- probability curve
- chart
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
- 230000001186 cumulative effect Effects 0.000 claims description 16
- 230000002950 deficient Effects 0.000 claims description 6
- 230000007547 defect Effects 0.000 claims description 3
- 238000010586 diagram Methods 0.000 description 4
Landscapes
- Complex Calculations (AREA)
- Image Analysis (AREA)
Description
【発明の詳細な説明】
本発明は累積確率曲線図表に関するものであ
る。DETAILED DESCRIPTION OF THE INVENTION The present invention relates to cumulative probability curve charts.
第１図に示すように累積確率曲線図表は、不良
率ｐとサンプル数ｎの積pnを用いてサンプル中
にＣ個以下の不良の表われる確率Ｌ（ｐ）を求め
るために用いられる。しかしながら確率Ｌ（ｐ）
を求めるのに必要なpnをその都度計算する必要
があり、ｐとｎ各々からはそのままでは求められ
ないという欠点があつた。 As shown in FIG. 1, the cumulative probability curve chart is used to determine the probability L(p) of C or fewer defects appearing in a sample using the product pn of the defective rate p and the number of samples n. However, the probability L(p)
It was necessary to calculate pn each time to obtain , and there was a drawback that pn could not be calculated from each of p and n as they were.
本発明の目的は、図表の中で不良率ｐとサンプ
ル数ｎとから累積確率Ｌ（ｐ）を求めうるように
した累積確率曲線図表を提供することにある。 An object of the present invention is to provide a cumulative probability curve chart in which the cumulative probability L(p) can be determined from the defective rate p and the number of samples n.
本発明による累積確率曲線図表は累積確率曲線
図表の目盛と一致させて不良部とサンプル数ｎと
からpnを計算しうる計算部を設けたことを特徴
とする。 The cumulative probability curve chart according to the present invention is characterized in that it is provided with a calculation section that can calculate pn from the defective part and the number of samples n, matching the scale of the cumulative probability curve chart.
次に本発明の実施例を第２図および第３図によ
り説明する。 Next, an embodiment of the present invention will be described with reference to FIGS. 2 and 3.
本発明の計算図表付累積確率曲線図表は、累積
確率紙上にpnを求めるための計算図表とpnから
Ｌ（ｐ）を求めるための累積確率曲線図表から成
つている。計算図表はＡ尺、Ｂ尺およびＣ尺から
成つており、Ａ尺にはサンプル数ｎ、Ｂ尺には
pn、Ｃ尺には不良率ｐが目盛られている。ここ
では任意のｎとｐの各値を直線で結びその直線が
Ｂ尺と交わる点にｎとｐの積pnとなる様にＡ
尺、Ｂ尺、Ｃ尺の目盛りを累積確率紙上に目盛ら
れている。このpnの目盛を累積確率曲線を求め
るためのpnの目盛と一致させている。 The cumulative probability curve chart with a calculation chart of the present invention consists of a calculation chart for finding pn on cumulative probability paper and a cumulative probability curve chart for finding L(p) from pn. The calculation chart consists of A scale, B scale, and C scale, and the number of samples is n for A scale, and the number of samples is n for B scale.
The defective rate p is scaled on the pn and C scales. Here, connect each arbitrary value of n and p with a straight line and draw A so that the product of n and p becomes pn at the point where the straight line intersects B scale.
Scales of shaku, B shaku, and C shaku are marked on cumulative probability paper. This pn scale is made to match the pn scale for determining the cumulative probability curve.
今ｎが60でｐが８×10-3とすると計算により
npは0.48となる。従来はこの0.48を求めた上で第
１図の従来の累積確率曲線図表を用い図表中の
pnの0.48と曲線の交点から確率Ｌ（ｐ）を求めて
おり、これはｎが60、ｐが８×10-3およびＣ＝０
のときのＬ（ｐ）は0.6と求められる。これに対
し、第２図に示す図表では第３図の如く、Ａ尺上
の60（ｎ）の値とＣ尺上の８×10-3（ｐ）の値を
直線で結ぶとＢ尺上の値は0.48（pn）を示す。こ
れとＣ＝０のときのＬ（ｐ）を求めると0.6とな
る。このように本発明は、ｎとｐそのものから図
表中にてpnが求まり、Ｌ（ｐ）が求められる。 Now if n is 60 and p is 8×10 -3 , then by calculation
np is 0.48. In the past, after finding this 0.48, we used the conventional cumulative probability curve chart in Figure 1 to calculate the values in the chart.
The probability L(p) is calculated from the intersection of pn of 0.48 and the curve, which means that n is 60, p is 8×10 -3 , and C=0
L(p) at this time is calculated as 0.6. On the other hand, in the chart shown in Figure 2, as shown in Figure 3, if the value of 60 (n) on the A scale and the value of 8 × 10 -3 (p) on the C scale are connected with a straight line, it will be on the B scale. The value of indicates 0.48 (pn). Calculating this and L(p) when C=0 is 0.6. In this way, in the present invention, pn is found in the diagram from n and p itself, and L(p) is found.
第１図は従来の累積確率曲線図表を示す図であ
る。第２図は、本発明の一実施による累積確率曲
線図表を示す図であり、第３図は第２図の図表の
利用例を示す図である。
Ａ……ｎを目盛つた尺、Ｂ……pnを目盛つた
尺、Ｃ……ｐを目盛つた尺。
FIG. 1 is a diagram showing a conventional cumulative probability curve chart. FIG. 2 is a diagram showing a cumulative probability curve chart according to one implementation of the present invention, and FIG. 3 is a diagram showing an example of the use of the chart in FIG. 2. A...Shaku with n marks on the scale, B...Shaku with pn marks on the scale, C...Shaku with p marks on the scale.
Claims (1)
ンプル中に所定個数以下の不良の現われる確率Ｌ
（ｐ）を求めるための図表であつて、Ａ尺として
サンプル数ｎ、Ｃ尺として不良数ｐ、Ｂ尺として
それらの積pnを設け、かつ任意のサンプル数ｎ
と不良率ｐとを直線で結び、その直線がＢ尺と交
わる点が積pnとなるようにＢ尺を配置し、該Ｂ
尺を基準として累積確率曲線上の一点が求まるよ
うにしたことを特徴とする累積確率曲線図表。1 Using the product np of the defective rate p and the number of samples n, calculate the probability L that a predetermined number or less of defects will appear in a sample.
(p), which has the number of samples n as the A scale, the number of defects p as the C scale, and their product pn as the B scale, and any number of samples n.
and the defective rate p are connected with a straight line, and the B scale is arranged so that the point where the straight line intersects with the B scale is the product pn, and the B scale is
A cumulative probability curve chart characterized in that one point on the cumulative probability curve is found using shaku as a reference.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP9765178A JPS5525134A (en) | 1978-08-09 | 1978-08-09 | Cumulative probability curve graph |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP9765178A JPS5525134A (en) | 1978-08-09 | 1978-08-09 | Cumulative probability curve graph |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS5525134A JPS5525134A (en) | 1980-02-22 |
| JPS6144330B2 true JPS6144330B2 (en) | 1986-10-02 |
Family
ID=14197985
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP9765178A Granted JPS5525134A (en) | 1978-08-09 | 1978-08-09 | Cumulative probability curve graph |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS5525134A (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5819733A (en) * | 1981-07-28 | 1983-02-04 | Toshiba Corp | Magnetic recording medium and its manufacture |
-
1978
- 1978-08-09 JP JP9765178A patent/JPS5525134A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS5525134A (en) | 1980-02-22 |
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