點狀圖 (dot plot)

Boston

Cambridge

Fitchburg

Glens Falls

Lowell

Medford

Pittsfield

Quincy

Rensselaer

Schenectady

Springfield

Waltham

Worcester

35 40 45 50 55 60 65

Median

點狀圖 (Dot Plot)

Springfield

Boston

Waltham

Medford

Cambridge

Schenectady

Rensselaer

Quincy

Lowell

Glens Falls

Fitchburg

Pittsfield

Worcester

35 40 45 50 55 60 65

Median

有序點狀圖 (Ordered Dot Plot)

Springfield

Boston

Waltham

Medford

Cambridge

Schenectady

Rensselaer

Quincy

Lowell

Glens Falls

Fitchburg

Pittsfield

Worcester

35 40 45 50 55 60 65

Median

長條圖 (Bar Chart)

0.1

0.2

0.30.5

1

22.5

5

6

10

20

25

Not Censored

圓形圖 (Pie Chart)

-4 -2 0 2 4

log.TcCB

Cleanup

Reference

Are

a細條圖 (Strip Plot)

-2.40795 -1.20795 -0.00795 1.19205 2.39205 3.59205 4.79205 5.99205

log.TcCB

0

5

10

15

20

25

0

5

10

15

20

25

Area: Cleanup

Area: Reference

直方圖 (Histogram)

-2.0 -1.5 -1.0 -0.5 0.0 0.5

log.TcCB

0.0

0.2

0.4

0.6

0.8

密度圖 (Density Plot)

Cleanup Reference

Area

-4

-2

0

2

4

log

.TcC

B盒型圖 (Box Plot)

Empirical CDF of TcCB in new.epa.94b.tccb.df(Subset with Area=="Reference")

Order Statistics for TcCB

Cu

mu

lative

Pro

ba

bili

ty

0.2 0.4 0.6 0.8 1.0 1.2

0.0

0.2

0.4

0.6

0.8

1.0

量分位數圖 (Quantile Plot) ( 點狀 )

Empirical CDF of TcCB in new.epa.94b.tccb.df(Subset with Area=="Reference")

Order Statistics for TcCB

Cu

mu

lative

Pro

ba

bili

ty

0.2 0.4 0.6 0.8 1.0 1.2

0.0

0.2

0.4

0.6

0.8

1.0

量分位數圖 ( 線狀 )

Order Statistics for TcCB and Lognormal(meanlog=-0.6195712, sdlog=0.467953) Distribution

Cu

mu

lative

Pro

ba

bili

ty

0.2 0.4 0.6 0.8 1.0 1.2

0.0

0.2

0.4

0.6

0.8

1.0

Empirical CDF for TcCB in new.epa.94b.tccb.df (solid line)with Fitted Lognormal CDF (dashed line)

(Subset with Area=="Reference")

經驗累積分布函數圖 (Empirical CDF) ( 配適對數常態 CDF)

Empirical CDFs for log.TcCB Split by Area (in new.epa.94b.tccb.df).Cleanup=solid line, Reference=dashed line.

Order Statistics for log.TcCB[Area==Cleanup] andlog.TcCB[Area==Reference]

Cu

mu

lative

Pro

ba

bili

ty

-2 0 2 4

0.0

0.2

0.4

0.6

0.8

1.0

量分位數圖 ( 兩組對數轉換相較 )

Normal Q-Q Plot for TcCB in new.epa.94b.tccb.df(Subset with Area == "Reference")

Quantiles of Normal(mean = 0, sd = 1)

Qu

an

tile

s o

f TcC

B

-2 -1 0 1 2

0.2

0.4

0.6

0.8

1.0

1.2

常態 Q-Q 圖

Normal Q-Q Plot for Log[TcCB] in new.epa.94b.tccb.df(Subset with Area == "Reference")


Qu

an

tile

s o

f L

og

[TcC

B]

-2 -1 0 1 2

-1.5

-1.0

-0.5

0.0

常態 Q-Q 圖 ( 對數轉換 )

Q-Q Plot Comparing Cleanup and Reference Area TcCB Data

Quantiles of log[ TcCB (ppb) ] for Reference Area

Qu

an

tile

s o

f lo

g[ TcC

B (

pp

b)

] fo

r C

lea

nu

p A

rea

-2 0 2 4

-20

24

Q-Q 圖 ( 兩組相較 )

Mean of Observed and Fitted Quantiles

Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

0.2 0.4 0.6 0.8 1.0 1.2

-0.6

-0.4

-0.2

0.0

0.2

0.4

0.6

Tukey Mean-Difference Q-Q Plot for TcCB in new.epa.94b.tccb.dfFitted to Normal(mean = 0.5985106, sd = 0.2836408) Distribution

(Subset with Area == "Reference")

Tukey M-D Q-Q 圖 ( 常態配適 )


Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-1.5 -1.0 -0.5 0.0

-1.0

-0.5

0.0

0.5

1.0

Tukey Mean-Difference Q-Q Plot for Log[TcCB] in new.epa.94b.tccb.dfFitted to Normal(mean = -0.6195712, sd = 0.467953) Distribution


Tukey M-D Q-Q 圖 ( 對數常態配適 )

Tukey Mean-Difference Q-Q Plot log(TcCB) Data

Mean of Quantiles

Cle

an

up

Qu

an

tile

s -

Re

fere

nce

Qu

an

tile

s

-2 -1 0 1 2

-20

24

Tukey M-D Q-Q 圖 ( 兩組相較 )

lambda

PP

CC

-2 -1 0 1 2

0.9

00

.92

0.9

40

.96

0.9

8Box-Cox Transformation Results:

PPCC vs. lambda for TcCB in new.epa.94b.tccb.df(Subset with Area == "Reference")

機率圖相關係數與 Box-Cox 轉換力對應圖


Qu

an

tile

s o

f [

( TcC

B ^

-2

- 1

) /

-2

]

-2 -1 0 1 2

-10

-8-6

-4-2

0Normal Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = -2


PPCC = 0.9008498

常態 Q-Q 圖 (lambda = -2)


Qu

an

tile

s o

f [

( TcC

B ^

-1

.5 -

1 )

/ -

1.5

]

-2 -1 0 1 2

-6-5

-4-3

-2-1

0Normal Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = -1.5


PPCC = 0.9366847

常態 Q-Q 圖 (lambda = -1.5)


Qu

an

tile

s o

f [

( TcC

B ^

-1

- 1

) /

-1

]

-2 -1 0 1 2

-3-2

-10

Normal Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = -1


PPCC = 0.9669707

常態 Q-Q 圖 (lambda = -1)


Qu

an

tile

s o

f [

( TcC

B ^

-0

.5 -

1 )

/ -

0.5

]

-2 -1 0 1 2

-2.0

-1.5

-1.0

-0.5

0.0

Normal Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = -0.5


PPCC = 0.987143

常態 Q-Q 圖 (lambda = -0.5)


Qu

an

tile

s o

f lo

g(

TcC

B )

-2 -1 0 1 2

-1.5

-1.0

-0.5

0.0

Normal Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = 0


PPCC = 0.9932857

常態 Q-Q 圖 (lambda = 0)


Qu

an

tile

s o

f [

( TcC

B ^

0.5

- 1

) /

0.5

]

-2 -1 0 1 2

-1.0

-0.8

-0.6

-0.4

-0.2

0.0

0.2

Normal Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = 0.5


PPCC = 0.9839249

常態 Q-Q 圖 (lambda = 0.5)


Qu

an

tile

s o

f [

( TcC

B ^

1 -

1 )

/ 1

]

-2 -1 0 1 2

-0.8

-0.6

-0.4

-0.2

0.0

0.2



PPCC = 0.9608911



Qu

an

tile

s o

f [

( TcC

B ^

1.5

- 1

) /

1.5

]

-2 -1 0 1 2

-0.6

-0.4

-0.2

0.0

0.2

Normal Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = 1.5


PPCC = 0.9284576

常態 Q-Q 圖 (lambda = 1.5)


Qu

an

tile

s o

f [

( TcC

B ^

2 -

1 )

/ 2

]

-2 -1 0 1 2

-0.4

-0.2

0.0

0.2

0.4



PPCC = 0.8914832



Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-8 -6 -4 -2 0 2

-4-2

02

46

Tukey Mean-Difference Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = -2


PPCC = 0.9008498

Tukey M-D Q-Q 圖 (lambda = -2)


Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-5 -4 -3 -2 -1 0 1

-3-2

-10

12

3Tukey Mean-Difference Q-Q Plot of Box-Cox Transformation for

TcCB in new.epa.94b.tccb.df with lambda = -1.5(Subset with Area == "Reference")

PPCC = 0.9366847

Tukey M-D Q-Q 圖 (lambda = -1.5)


Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-3 -2 -1 0

-2-1

01

2Tukey Mean-Difference Q-Q Plot of Box-Cox Transformation for

TcCB in new.epa.94b.tccb.df with lambda = -1(Subset with Area == "Reference")

PPCC = 0.9669707

Tukey M-D Q-Q 圖 (lambda = -1)


Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-2.0 -1.5 -1.0 -0.5 0.0 0.5

-1.0

-0.5

0.0

0.5

1.0

1.5

Tukey Mean-Difference Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = -0.5


PPCC = 0.987143

Tukey M-D Q-Q 圖 (lambda = -0.5)


Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-1.5 -1.0 -0.5 0.0

-1.0

-0.5

0.0

0.5

1.0

Tukey Mean-Difference Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = 0


PPCC = 0.9932857

Tukey M-D Q-Q 圖 (lambda = 0)


Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-1.0 -0.5 0.0

-0.5

0.0

0.5

Tukey Mean-Difference Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = 0.5


PPCC = 0.9839249

Tukey M-D Q-Q 圖 (lambda = 0.5)


Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-0.8 -0.6 -0.4 -0.2 0.0 0.2

-0.6

-0.4

-0.2

0.0

0.2

0.4

0.6



PPCC = 0.9608911



Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-0.6 -0.4 -0.2 0.0 0.2

-0.4

-0.2

0.0

0.2

0.4

Tukey Mean-Difference Q-Q Plot of Box-Cox Transformation forTcCB in new.epa.94b.tccb.df with lambda = 1.5


PPCC = 0.9284576

Tukey M-D Q-Q 圖 (lambda = 1.5)


Ob

se

rve

d -

Fitte

d Q

ua

ntile

s

-0.6 -0.4 -0.2 0.0 0.2

-0.4

-0.2

0.0

0.2

0.4



PPCC = 0.8914832


50 60 70 80 90 100

temperature

0

50

100

150

ozo

ne

散播圖 (Scatterplot)

50 60 70 80 90 100

temperature

1

2

3

4

5

ozo

ne (

pp

b^1

/3)

散播圖 (ozone^1/3)

50 60 70 80 90 100

temperature

1

2

3

4

5

ozo

ne (

pp

b^1

/3)

附加 Loess 平滑曲線散播圖 (ozone^1/3)

三維散播圖 (3D Scatterplot)

0 5 10 15 20

wind

50

60

70

80

90

100

tem

pera

ture

41.00

36.0012.00

18.0023.00

19.008.00

16.0011.00

14.00

18.00

14.0034.00

6.00

30.00

11.001.00

11.00

4.00 32.00

23.00

45.00115.00

37.00

29.00

71.0039.00

23.00

21.00

37.00

20.00

12.0013.00

135.00 49.00

32.0064.00 40.00

77.00

97.0097.0085.00

10.00

27.007.0048.00 35.0061.00

79.0063.00

16.00

80.00108.0020.00

52.0082.0050.0064.00

59.0039.00 9.0016.00

122.00 89.00110.00

44.00

28.0065.00

22.0059.00

23.0031.0044.00 21.00

9.00

45.00168.00

73.00

76.00118.00

84.0085.00

96.0078.0073.00 91.00

47.0032.00

20.0023.00

21.0024.00

44.00

21.0028.00

9.0013.00

46.00

18.00

13.00

24.00

16.00

13.00

23.00

36.00

7.00

14.00

30.00

14.0018.00

20.00

含文字散播圖 (Scatterplot with Text)

0 5 10 15 20

wind

50

60

70

80

90

100

tem

pera

ture

泡泡圖 (Bubble Plot)

5 10 15 20

wind

60

70

80

90

tem

pera

ture

等高線圖 (Contour Plot)

5 10 15 20

wind

60

70

80

90

tem

pera

ture

填充等高線圖 (Filled Contour Plot)

填充曲面圖 (Filled Surface Plot)

ozone

0

100

200

300

0

5

10

15

20

1 2 3 4 5

0 100 200 300

radiation

temperature

50 60 70 80 90 100

1

2

3

4

5

0 5 10 15 20

50

60

70

80

90

100

wind

散播圖矩陣 (Scatterplot Matrix)

60 80 100 60 80 100

temperature

0

100

0

100

ozo

ne

wind: 2.3 to 7.4 wind: 7.4 to 9.7

wind: 9.7 to 11.5 wind: 11.5 to 21.3

等數量條件化圖 (Equal Count Conditioning Plot)

50 60 70 80 90 100

temperature

0

100

0

100

0

100

ozo

ne

wind: 2.3 to 8.4

wind: 8.4 to 14.6

wind: 14.6 to 20.7

等距條件化圖 (Equal Range Conditioning Plot)

點狀圖 (dot plot)

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