BAT CDC Documents
Some Further Analysis of an Experiment to Compare the Tumour - Promoting Activities of the Condensates From Cigarettes B9 - 1 and B9 - 6
Fields
- Original File
- BATCO002
- URL
- http://outside.cdc.gov/images4/00/02/49/54/doc00001.TIF
- Company
- British American Tobacco
- Date Loaded
- 04 Mar 2003
- Author
- WILKES EB
- Box
- B3177-6
Document Images
IEP01~r NO. ID. 1404 RE~C'IZD
24.8.1976
AUTHOR: R.B. W£1kas
LSSI~.~ lJ~: B.E. W£11£s
PROJECT JOB HO= 11.05.02
DZb'TRZ~L'ZON:
Dr. S.J. Grean Copy Ho. 1
DE. D.G. ¥elCon " " 2, 3
Library I, " 4, 5
COI~N0:
ii i i
BAT Co LTD - MINN~TA TOBACCO LITIGATION
C~

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

EBWlLX/46Z>'-2
Group Research & Development Centre,
British-American Tobacco Co. Ltd.,
SO~HA~PTQ~.
2ACh August, 1976
SOb~ FURTI~R ANALYSIS OF AN EXPERIMENT TO
com~J~J[ T~ zz~ou~-zqux~r~c Ac'rzvrrzzs oF
c(x~zz~sx_~zs FZa~"CX~Z'nZ~ zzg/z ~.V' Z9/6
(Report No. RD. Z40A lestrlcted)
SUHHAR¥
This report desc=ibes a stmtlsClc•l amalysls of the data arisln8
from the 3ANUS promoClon experiment cmzpmrlns condensaCes B9/1 end B9/6.
The data were adjusted to simulate r~he situation as if the experLmmnt
had been terminated •t week 32 or 36 or 40 or 44 o= 48 or 52 as well as
the actual teWnLiZmlCiOU time of 57 weeks.
Ic is concluded that doses of 120 US and 180 .1 o£ DH3A as Luitiltor
mrs too h~sh, but ~he opC/=mm dose level cannot be determ£ned. The
60 U8 level of Dt4~A did however yield uae~uI date.
lc is •leo concluded ~hac early tenatnation o£ the experiment may
have been possible uelnS the 60 US DHBA groups, the C~oriSenlc raclo
belng signlflcanc from week ~A onwards.
It is recoemended Chat in future iniCieCor-promotor experimmmts of
t.h:l.s kind at least 80 animals per group should be used, and as a rule
of thumb the experiment should be terminated when the group ehowlng the
lomwC response has • turnout--raCe o£ about 1OZ.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
o
O4
o~
".--4

2-
L
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
r~
OO

-2-
INTR~DUCTION
An earlier report (I) describes the desiKn of cheexper/ment and
the analysis of the dace when the experiment was terminated. The objective
of this further analysis is to estimate the effect on the s~alysis of
terminating the experiment sooner. The exper~nent actually ended at
week 56. all surviving animals being sacrificed du~iag week 57. Since
the we@ks of occurremca of turnout-bearing animals and else wmek~ of death
of animals dying tumourless are known the data can be adjusted to simulate
the termination of the exper4~mut at any giv@n week, all surviv/ng mnjJnals
be£nK resarded as having been sacrificed dur4~s that week.
THE DATA
The whole a~jpar~mJnc used 34 L~roups o£ mai~als, of .which 24 Kroups
are used in this analysls. These Stoups were subjected to the 24
combinations arising from 2 condensates (Bg/L, B9/6), 4 levels of
application (0, 60, 120, 180 ~S) and 3 condensate dose levels (20, 28.3,
hO ag three t/~ms weekly). :In the oris/~al report Zhe data arm shown
livi~s the incidence of turnout-bearing an/male and the incidence o£
tumourless deaths on a 6-weekly basis. SiJxce durlns the early weeks
of the exper~nmnt the numbers of cumour-baarinK mnJJmls mad the numbers
of cumourlass duths are small it was felt that the er=o=s introduced
by grouping the data into &-week periods would be unacceptably hiKh
and so, for this analysis, the data are used on a 1-~s@k bu£s. (Times
of deaths and t/ross of turnouts are recorded on a week-b~-wmek bmsis.)
Tables 1A r~ 2~A sho~ the data.
METSOD OF ..ANALYSIS
The data were analysed usinK the We£bull distribution function.
Comnon values of the parameters k and w, and separate values 0£ b, were
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-3-
fitted Co all 2~ groups by the method of maximum llke~thood. The values
of b, k and w are 8hewn ~n Table 1; these values were obCalned ug£ng ~e
dace as an week 57.
Strictly spaaklng, 4f we ~ro to simulate Ehe analysis of the exper~nc
terminated at var£ous times, then the maximum likelihood values of b, k
and w should be re-asclmated for each elmg-polnt chosen for taz~inmclon.
This procedure would however imvolve a large mmountlnK of co~putlng and
iC was decided co fix the values of k and w arbitrarily and only re-compute
the values of b. 7rou Table I it would seam Chat k - 3.0 azd w - O would
probably fit the data quite well. Table 2 shows the values of b corresponding
to chase values of k and w, ~ Table 3 showB the ~odnema of fie £emt
for the parameters shown in Table 2. From Table 3 it can be seen that
the parameters of Table 2 do indeed fit the data fairly wet1, the value
of X2 - 12.088 wlCh 6 degrees of freedom be~ juaC noC significant
(iC is siEnlflcanC aC the 94Z level of confidence). The mjor contributor
Co chls X2 is Che zroup of animals receiv~ag 39/1, ~0 mE, 120 .8;
as treatment. In this group there were more tw~mar-bearinE animals than
expected in the ~eaks ~ to 47, trich fiver Chan expected 4n Che muccaedlng
10 weeks. In an expar~JnenC eont:a:tu~uK 24 frroups of an/reals, with relaCivaly
few tumour-bemr~ an;,nals in each ~roup, it i8 onlT to be e~rpeeCed Chat
one or Cuo groups may show unuemal patterns of inc£dem:e of fiamour-boar~ng
animals. Thus the degree of lack of fit Lnd£cated by the above value of
X2 is considered Co be acceptable mad the mmalTsis was carried cmC umtJaK
k - 3.0 and w - 0 for all time points.
The dace were analysed aC weeks 32, 36, 40, ~, 48, 52 and 57.
At each of chase c~nm poises values of S mad V for each of the 24 groups
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

BAT Co LTD - MINNESOTA TOBACCO LITIGATION

-4-
were co,~.tad where S - I Dll ~d V - ~ CDIi + ~21> _Cai - V>k. ~ ~ese
expressions DIi ks the number o£ turnout-bear!he animals occurring during
week el, and D2i is the number of tumourleas deaths occurring during
reek t.. Since we have chosen k = 3 and w = 0 we have V- ~ (DIi + D2i) ts.
X
Zt can be shown that the maximum likelihood estimate of the WelbuI1 paramtter
b is the ratio S/V. Thus, at each o£ the time po/Jxts 32, 36, 60, ~, 48,
52 and 57 weeks ~e have available the max/~Jm likelihood values of b, and
the values of S and V, for each of the 24 groups.
RZSULTS OF ANALYSIS
Using the methods dmscribed in (2) and (3), an analysis of variance
was £ormed for each of the time po4ucs. The results are shown in Tables 1B
to 21B. The four levels o£ DHBA pte-tre~taeat (0, 60, 120, 180 ,S) were
treated separately, and at math of the time points, £or each of the DMBA
levels, the Bg/1 to B9/6 tumorigenic ratio (sad its 95Z coufide~ce limits)
were calculated. The data from the 0 D~MA Kroups was /~8ufgiclent to
allow the calculation of the ~umor/~enic ratio (only 2 t~mour-bearing
an/male occurred in these 4 8Taupe); the results o£ this analygi8 of the
data £rou the ocher three l~vel8 of ~(BA pre-tteatmant is shown in
Fisures 1 to 3. These Krephs show plots of the (natural) Iosarithm of
the tumor£Kenic ratio of B9/1 to B9/6 with its 95Z eou£1dence I/wits,
the slope o£ the dose/response curve, and the numbers of tUmOttT--bedLT~
anJJnals, versus time. In order to compute the tumoriSen£c rat£o, a
parallel line regression of In Cb) versus In (condensate dose level)
ks used, the two lines representing the two condensates. Than the
In (tumorigenic ratio) i8 the distlmce between the lines divided by
the slope of the lines; it i8 the slope of these parallel dose-response
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
o
c.,.rl
%.0

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-5-
curves that is shown in the graphs. It will be noticed that for the
180 DMBA, and for 6 of the 7 ti~e points for the 120 IMBA group, the
confidence reKion of In (turnout rat£o) is not plotted. These confidence
limits were not plotted because they could not be estimated, and this
siCuatlon arose because the slope of the dose/response curve did noc
reach siKnlficance. In Tables IB to 2IB the slope of. the condensate
dose/response line is tested for sisnificance using a *'rule of thumb"
t-test. The ratio of the slope to ice 8tmadard error is treated am s
t-statistic with (N- 3) deKrees of freedom, where N is the number of
tumour-bearins animals used in tstlmatinS the slope. Tables 1B to 21B
show that only for the 60 DMBA Kroup at week 36 onuards, at reek 48
for the 120 DMBA Stoup, is this t-statistic siKnific~nt at the 95Z level;
for the 180 DMNA Kroup it never attains siKn~ficance. The results are
shown plotted in FiKures 4 to 10. Where po£ncs are noc shown (for example,
60 DMBA, 20 mK in Figures 4, 5, 6) the number of cumour-bearln8 =~-ls
in these groups at the alms-point of the plot is zero. Thus it can be
seen that it is not until the analysis at week &8 chat there are
turnout-bearing animals present in all the 24 Kroups.
Tables 1B Co 21B also show Chat, for the 60 DMBA Stoups zha difference
between the condensates B9/I and B916 is siKnif£cJnt from week ~A onwards
(actual sisnlficamce level at week 44 - 94.60., 95:[), for t:bm 120
Kroups the betveen-condene~tte effect is always s~nlflcant, and for cht
180 ~ Kroups the coudemsace effect 4s s:LIp~ficamt fz'om week AO ouvards.
Thus alr3,oujh ~ slope of the condemsate close-:espouse curve £s,
except for the 60 DMBA S:otrpz, lll-de~tamd a difference between the
condensaCes is readily detectable. FiEures 4 co 10 quite clearly
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
k..rl
................................................................................ --'-'r-

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-6-
illustrate the situation. Rice often in these fi|ures the dose-response
line £or the 120 and 180 D]4KA Kroups is near horizontal or hag a ve~-y
shallow slope. On the other hand the seneral ~evel o£ response of the
animals to the two ¢ondensates £s always clearly di£Serent, Bg/1 pz~ducL~K
am obviously hiKher response than B9/6.
DZSCUSSIC~
Two questions are o£ interest:-
(a) Is there an optimum level of Dm~ pre-t-reatmant?
(b) CouZd the experlmsnt have been teru~ated belore reek $7?
(a) FiSures I. 2 and 3 and the analyses of variance, shov quite clearly
that, 8enerally sp~tklns, only the 60 Dt4~A 8~oups provide a satlsfactoz7
ulysis. Only at week &8 do the ~20 ~ ~roups provide an estimate
of the tumor£Se~ic ratio, and the 180 INiKA 8~oups never do. As noted
previously, this ar£ees because the condensate dose-response curves of
the 120 DNBA and 180 DKBA cannot be estabZ~shed. This seems to me to
~nd£cete that these latter two lemtls o5 ~ preotreetmsnt are too
hlgh. The e~£ect o5 the ~ in4t:Letor has overud3alJned the e~£ect o5
the condensate promotor to such an extent that all condensate dose
levels look al~e. All that remains to be seen 4e the ve~-y larks d£55erence
betveen the condensatas. The B9 lank term sir'in paiztt~g experiment is
now complete, and an initial ana1?sls of unvalidated data gives a
tumorisenic ratio 5or )9/1 to B9/6 o5 5.31, i.e. the dose level o5
B9/6 must be about 3.31 times the dose ~evel of B9/]. to produce equal
response Ln the animals. The results o£ this interim mmlys£s o£ the
B9 long-term experiment are also shown plottnd on lt4ruz~ns I to 3, and
inspection o5 these ££Kures shows that £or all the ~ 8Temps the
esti~tte of the t~smoz~gen4c ratio is fairly comparable with the lon4;-tetm
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
........................................................................ ---.v

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-7-
result, but only for the 60 DI~A groups does the slgpe of the condensate
dose/response curve become comparable ~th that of the lon4~cerm test,
and then only from about week ~ ouvards.
Thus the conclusion to be drawn from this analysis seems to be that
the 120 ~g and 180 ~g levels of D~ pre-tremCmeut ee certaLuly too
h~sh. but whether or noc the 60 uZ level is optima.l is difficult Co
establish. Tf it is intended to repeat an experiment of Chlm nature,
then • wuld suggest thmc DHBA l~cer-treatmmnt levels of 30 VS, 60 ~K,
and 90 US be tried.
(b) Obviously. as far as the 120 DMBA and 180 DMBA ~roups are concerned
very little would have been lost by carac~c~nK the ozper~nmnc earlier.
In general for these groups the condensate dose/response curve is never
established and the confidence region for the Cumocigenic ratio cannot
be estimated.
For the 60 ~ IFcoups however the situation is far from clear.
Although a confidence rqion for the tumor/~m~c ratio could usually
be calculated, the width of the region varied mnormously, this variacien
being governed by the pattern of incidence of the Cumour-bearinl animals.
At weak 44 a good analysis was obtained, but st the two succmedin8 t~mm
poLucs (weeks 48 and 52) the upper l~mit of In (c~tour ratio) bec~e
very high (30.05 and 18.74 respectively). This sharp ~acraaae tea
the
e
upper limit m occasioned by the fact that the numbers of t~mour-baaring
8n~mals occurring with the a9/l condensate continued to increase wlth
ttme, whereas the number of tumour-bear/n~ animals occurr/ng with the
B9/6 condensate bec~me static from weeks 44 to 52. &c week 57 the
incidence of turnout-bearing animals increased in the B9/6 E~oups and
the upper l~It of the In (Cutout ratio) was correspondingly reduced.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
J
¢...r'l
%.0
............................................................................... -T-

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-8-
T~ practice 0£ course it £s the lover 14m~C of_ln (CUnour rttlo)
vh£ch is of £nceresc, whe~ In CCtmour reclo) is sruCer Ckan zero
i.e. vhen the cumorisen£c ratio is K=eacer chart 1.0. Zf the ~over
I~n~c of In (Surtout ratio) is SreaCer Chart sere Chert the t~mor£ge~ic
rac£o £s 8izn~££cantly Kremcer Chsn 1.0. ThLs s£cuac£on occurs for the
60 DHBA groups after week 44. Thus aC any time on. or afcer week 44
the experia~nc could have been term/hated and the 60 DMBA SToups would
have shown the tumorigenic =atio between the coudensmtes to have been
significant •
Much of the fluctuations in the Krsphs shown in FLsures I co 3,
e.g. the exceptionally high upper limit for In (Cumour retie) at weeks
48 and 5 in ¥£Sure 1, is due to the fact Chat there ~tre only 21 m~dmAls
per group £. e. at etch level of condensate dose and ~ pre-t~eatnnmsC
only 21 animals vere used and thus the 4ncldence o£ only ]L or 2 hey
tumour-besr£uK enLmals has • marked effect on the m~ly8£8. ~ larger
poups of m~m-ls had bee used then the inc4dmnce of ctunour--bear~aq~
~le is usually smoother and the situation as ac weeks ~8 and 52 in
Fisure 1 would have been less l£kely Co ar£se, so thac the effect of
~s:ly termLnatiou on the 60 DHJA ~oupe (or the other ~HBA levels) would
have been clearer.
The overall conclusion seems to be therefore t~st there -.=,y be
some advanCase in terms of t~ne saved (and consequently ~ Co:ms of
cost of experiment) Lf the 60 DHBA Stoups had been cermtz~ted on or
after the 44Oh week. But 4f £t is intended Co adopc th~s procedure £n
future exper/mencscion the nmnbers of animals used oushc co be
considerably increased so as Co scab£14se the incidence o£ cumour-bear£uZ
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
O

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-9-
anLmals. As a rule of thumb Z would sussesC us£n4 e~ least 80 anLmals
per Stoup, and scopp£ng the exper~aenc when about IOZ o£ the animals have
become cumour-bearins An the Eroup showing r.he lowest response.
assumes thac morcallty effects rill be relatively 8mmll,
CONCLUSIONS
1.
~e
o
~e
Thls
Dose levels of 120 ~S and 180 ~g of DMBA as prrtrut~:ts in an
in~tia~or-promotor experiment are too h~Eh.
A dose level of 60 ~S of DH~k produces useful data, but 4t yes not
possibie ¢o esr~tblieh that this m the optimum dose level.
Xarly tetz~Lnation of the experiment (i.e. before week 57) may be
advantaseous if the 60 ~S DHBA level of /nltiator is used.
The determ~uatlon of the stopping time would be made easier by the
use of larKer ~:oups of animals.
..KEFFJLEHCES
1. "The dtsip and analysis of an experiment to compare rJ~e ~mour-
proaott~K activitles o£ the condensate from ciKarettes B9/1 and
B9/6". E.B. Wilkes. G.l. S D.C. Keport No. RD.11$2-u, October 1974.
2. "Pseudo analysis of variance o£ mouse skin ptintinS emperimmnts
uslnS • ge£bull dlstrlbutlon with known k and v". P.N. Lee.
Z.R.C. Docmaent E828, RlO03, 1970.
3. ''We£bull dlstr~but:ions £or continuous catc/JBolenesls ezperCmonts".
R. PeSo and P.H. Lee. Biometrics 29, 3, pp. 457-470.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
.-,.,j

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-10-
TABLE 1
VALT~S OF T~EZBULL PARAHETJ~
Det:a as at: week 57
k - 3.036928 w - 1.257767
C"; gareCte
Type
159/1
B9/6
Values of b x 107
mm
0
B
2.448O
2.6652
D
Condensate
Dose
2O
28.3
20
28.3
4O
Dtl3Al,evels
6O
13. 7647
23. 1557
40. 6180
8. 6951
9.O304
18. 7469
120
34.4362
62.6274
61.6589
11.A721
6.5674
11.6800
180
32.0980
22. 8662
39.5213
13.23~3
6. 6154
16.7/,04
TA3LE 2
VALUES OF ~IEZBULL P~TERS
Dat:a as at: week 57
k-3.O v-O
Ct|a:et:ee
Ty'pe
B9/1
39/6
CoDdensMte
Dome
20
28.3
40
20
28.3
JK)
Values of b x 107
|
~& ~e18
i ll=
O
,i |
i
!
2.6535
era.
2.8855
6O
1/,. 8728
27.1010
&3. &077
9. 3973
9.7~9
20.2857
220
37. 7067
A5.3070
65. 7015
12,3981
7.O738
12,6156
180
34.5525
24.6570
42.5377
14. 2497
7.1285
18.0446
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
m
%.0
C
C...r'l

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

C -11- (
N
O
~3
I
Z
Z
3~
@
©
w--q
@1
Z
Z Ol, lC>l;,c O 1
Tuu~.._._.!
GOODNS$ Of ~T Or ~ fMtNl'rlNJ ~ TJdil.Z 2
0 " obeerved mire e| tumom~-bea[[u8 mitotic.
| - ezpeeted mmbere of L~amur-bemrin8 Aimle.
aroup
m/I N.0
89/I 21.3.0
I~ll W.0
M/6 110.0
Bg16 28.3.0
19/6 4O.O
Igll 2O.t0
HII 21.3.60
Hit W.60
m16 2O.60
W16 n.3.eo
MI6 w.60
J911 10.120
mll ~1.3.12o
M11 ia,12o
rot6 10.12O
B16 |1.3.12o
1916 W.12O
Hll 110.1110
Nil 21.1.180
n911 40.180
1916 2e. 1110
8916 2|.3.11O
11916 ~,100
TLue ferlod8
ToteLe
o - 26 40- tt ~5 - 49 50 - 53 54 - 57
0 l 0 B 0 l 0 I
O l
0 • I0!
0 .III
0 .573
0 1.03;~
i 1.627
0 .34~
0 .3;3
I .7Y8
1 1.399
1 1.634
1 2.333
0 .459
O .26t
l .487
! 1.271
2 .~2
3 1.599
! .550
I .277
! .666
I--
0 .115
1 .112
1 .TM
4 1,167
0 !.116
1 .117
2 .162
1 ,970!
2 1.481
1 1.313
5 1.091
O .Srdl
0 .3OI
0 .605
0 I, 32¢
0 1.140
2 !. 722
o .601
0 .283
O .790
27- 3* t 35- 39
o I o S
m w m
0 .118 0 .113
. ~ m m
0 .128 0 .116
0 .6;00 .595
1 1,178 1 1,012
2 1,73t 3 1,414
0 .401 O .)(DO
0 .425 1 ,301
0 ,NO 0 ,79o
1 1.505 i !.254
2 1.603 1 1.21|
1 |.330 1 1.770
o ,535 o .tSt
.295 o .2,7
0 .$74 1 .507
1 1.400 1 !.103
1 hOOt 1 ,938
0 1.767 3 1.678
o .613 1 .5~)
0 .304 0 .237
1 ,725 1 .(A0
11 18.307 16 15.285
.0331
m
0 .179
0 .17~
m m
2 .82O
0 1.547
! 1.253
0 .4J7
0 .513
0 1,124
3 1.660
3 1.31S
4 1.94|
3 .67t
0 ,365
2 ,693
3 1.490
3 1.130
1 1,900
1 .609
1 .343
1 • 097
m
o
i .163
m
0 .168
1 .729
1 1.110
1 1.oa$~
o .4~6
0 .4t8
I0 .9711
1 1.413
o 1.049
1 1.509
0 .5Q3
o .216
0 .635
1 1.284
o 1.o34
1 1.$88
o .534
0 .302
o .iM
o I
m
0 ,163
m
0 .162
m m
1 ,/00
1 i,0|12
0 .917
2 .411
O .439
5 ,SiS
! 1.~0
1 .|IS
0 1.2:~
1 .513
1 .~15
0 ,592
1 1,068.
o .~)41
1 1.40~
1 ,517
0 .277
1 .61~
1 .993
m
1 1.003
5 t.O0~
8 1.86~
| 9,600
3 1.88t
3 3.041
1 6.151
10 9.912
9 1l.O4~
13 13.03)
t 3.|26
1. !)13
4 t .093
9 9.020
7 7.309
II II,4~0
4 3.9S4
2 Z.023
$ ~.o23
Tot+el Xz - I|,M8| vith 6 dqiree8 of freedom. SilnffJceuce level 93.S971.
Terrain 17 16.814 10 l;.ttt 28 lg.021 8 16.005 17
14.115 i17 117.163
Xl .001| .3739 4.2386
4.0030 0.5202

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-12-
TkBLE
N=21 D~SA - 0
~umber turnout-beaten8 animals = 0
Weeks of detect£on = -
Nu~er eumourleas de~hs .. 3
Weeks o£ detection = &&. 50, 52
Number sacri£icod at week 57 - 18
Dose = 20 mg. Bg/1.
TABLE 2A
N- 21 DHBA- 60
Humber cumour-bearins an4s~ls - 5
Weeks of det:ect~on - &3, &7, &8, $0, 56
Number cumourless deaths m 2
Weeks of detectLon - 40, 48
Number eacr~Lf£ced et week 57 = 14
Dose - 20 mS. Bg/1.
N = 21 DMBA = 120
Number Cumour-beacr/~i animals - 10
Weeks of detect~on~ 11, 27, 36, AO, 41, A7, &9, Ag, 50, 56
Number tumou=lss8 deaths m 2
Weeks Of deCect£on- 29, 55
Nuaber ~acrL££ced at mk 57 - 9
Dose = 20 m8. B911.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
%.0

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-13-
TABLE 4A
H - 21 ~- 180
Humber ~u~our-bear~ an4~=18 - 9
Weeks of detect£on- 20, 20, 29, 36, A6, 47, 48, 52, 56
Humber ~Lmourless deaths = 4
~eks of detection - 19. 39, 55, 56
Humber sacr/~£ced at rock 57 - 8
Dose - 20 mg. B911.
T~SA
N - 21 DMBA - O
Humber cumour-bearlnS auimaZs - 0
Weeks of 4e:ec~ion - -
Number ~umourZess deaths = 3
Weeks of detectlo~ = 23, 34, 49
Humber sacrificed at week 57 . 18
Dose - 28.3 mS. 3911.
TABLE 6&
B = 21 DHB& = 60
Humber tunouz~-bear4-8 an~Jnals - 8
Weeks of detection - 29. 37, 42, &A, ~, ~, 52. 57
Number ¢umou~less deaths - 2
Weeks of detection - 39, 50
Humber sacrif£ced at woel~ 57 - 11
Dose = 28.3 ms. B9/1.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
c..r'l
%..0
u

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-14-
TA3LE 7A
N - 21 DHBA = 120
Nmaber tumour-besr~ anJ~mZs = g
~eeks of detecC£on = 22, 27, 33, 36, AO, AS, AS, A6, 56
Number L~Jmourless dear.hs - 6
Weeks o£ de~ectio= - 22, 23, 29, 34, 39, 46
Number sacr{fLced 8¢ week 57 - 6
Dose - 28.3 ~.
B9/1.
TJJLE 8A
- 21 DH3A - 180
Mumber ~Jmourobesring anneals - 7
Weeks of deCecclon m 9, 22, 27, 38, &7, &9, 49
Number tumourIsss deaths - 3
Weeks of detecClon m £6, 47, 56
Number sacrificed me ~tak 57 m 11
Dose - 28.3 ~g.
n9/1.
YJ~LE 9A
8 - 21 . ~ - 0
Number Cumour-bear£~ an~ls = 1
Weeks of detection = 50
Humber tumourles8 deaths - 1
Week8 of detection m 50
Number sacrificed at mk 57 - 19
Dose - &O m g.
n911.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
m
C~

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-15-
IOA
N - 21 m~KA - 60
Nunber tuuour-bearin$ tn~uaZs - 9
Weeks of 4etec:ian - 18, 23, 28, 30, 35, 37, 37, 48, 50
Number tumourless deaths - 5
;/eeks of de~ec:ion - 30, 40, &l, &4,
Humber 8acri£iced at week 57 = 7
w°
Dose - 40 :K. B9/1.
v
TABLE 11A
N - 21 D)fl~ - 120
Dose ~ 40 mE. B9/1.
Number tumou~-bear~g animals - 13
Weeks of detection - 18, 27, 38, 40, 40, 41, 44, ~, 46, 48, 46, 47, 50
Number cumourles8 death8 m 3
Weeks of detection m 17, 29, 38
Number "sacrificed at: week 57 - 5
12A
N - 21 ~ - 180
Dose - 40 inK.
ttumber L~mour-beaT£nS 8nJ~sls - 11
Weeks of detection - 17, 21, 22, 36, 37, 37., 40, &2, 46, 52, 57
Humber tumourless deaths - 0
Weeks of detection - -
Humber sacrificed at reek 57 - 10
S9/1.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
o
,,,..o

V
./7
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

-16-
13A
N'21 ~-0
Humber turnout-bearing animals -0
Weeks of detection - -
Hwnber L'dmourltse deaths - 2
Weeks of detection - 25, 49
H~mber ss~r~£ced at reek 57 - 19
Dose - 20 ~. B9/6.
~ .. 21 DMK~- 60
Number tumou~-bear~ enamels - :3
Wee~s of detection o 40, 55, 56
Number twnourless deaths - 6
Weeks of 4etect::Lon ~ 11, 38, 39, 46, 56, 56
Numbe~ sae~££iced at week 57 - 12
Dose - 20 mK. B9/6.
N - 21 ~ - 120
l~unbe: t~ou~-beart~8 ~ls - 4
Weelus of detection - 46, 49, 49, 57
Humber t~mou~less deaths - 4
Weeks of detection ~ 13, 34, 48, 53
lqumber sac:/~£ced at week 57 - 13
Dose - 20 ms. B9/6.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
"'.-,d

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-17-
TA3LE 16A
J
N - 21 nMK& - 180
Number tumour-be~rinK animals - 4
Weeks of detection - 25, 38, 45, 57
Humber tumou=les8 deaths - 6
Weeks of decoction m 27, 3P, 40, 44, 45, 47
Number sacrificed st week 57 - 11
Done - 20 inK. 3916.
17A
N - 21 ~t4~A - 0
Humber t~mour-bearinK animals - 1
Weeks of detection- 43
H,--ber t-umourlese deaths - 3
Weeks of denection = 23, 39, 55
Number sacrificed at week 57 - 17
Dose m 28.3 inK.
rag16.
TJJu~ 18A
N = 21 m~R& m EO
Number t~mou~-beariu~ Jmimals - 3
Weeks of detection- 36, 41, 43
Hmaber t~/mottEles8 deJtth8 - 4
Weeks of detection = 24, 42, 44, 4g
Number sacrificed at week 57 = 14
Dose 28.3 ug.
]J916.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
C...~
................................................................................ • ---r

BAT Co LTD - MINN~TA TOBACCO LITIGATION
".,.O
r,,o

-18-
TKKLE 19A
N - 2I ~ - 120
N,--bet C~ou~-bear~g an~nals - 2
Weeks of detection = 34, 54
Humber tumourZess deaths . 10
Weeks of detection - 18, 26, 41, 41, 42, 51, 52, 53, 53, 5A
Humber sacrificed aC week 57 - 9
B'
Dose - 28.3 mS. B9/6.
T~LE 20&
N - 21 ~ - 180
Humber turnout-bearing animals - 2
Weeks of deCecClon - 25, 46
Humbe: turnout'less duChs - 7
We~s of dete~c£ou - 3~, 32, 32, 33, 40, 49, 54
N~e: sac=if iced at week 57 m 12
Dose - 28.3 mK. Bg/6.
TABLE 21A
N=21 DHB& m 0
Humber Cunouz'-be~a4 m~aals - 0
We~i~ of detect:£on - -
Humber tumourless de.st:hs - &
Weeks of dececC~- 22, 32, 69, 51
Humbe= smc::J.flced at week 57 - 17
Dose m AO mS. 3916.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-19-
22A
...... =
N " 21 ~ - 60
Humber tumou~-bearLn$ anLma$s - 7
Weeks of detection - 26, 40, 54, 55, 55, 56p 57
Humber t~mourXeml death8 - 1
Weeks of detect:~on " A8
Number lecri££ced at week 57 - ~3
Dole = 40 mK. B9/6.
TABLE 23A
N " 21 ]~t4B& m 120
Number Cumour-beari~S aniuULll - 4
.m
Weeks o£ detection = 22, 35, &7, &7
Number CumourIel8 deaths - 3
Weeks of detection m 39, 45, 55
Humber lacrif£ced at reek 57 - l&
Dole - AO ms. B9/6.
~4
TABLE 2~A
N " 21 ]DH]tA " 180
Humber Cumour-bearins au/:~ll = $
Weeks of detection m 20, 30, 39, ~7, $7
Number t3Jmourlemsd88the m 6
Weeks of detect£ou = 21, 24, 48, &8, 50, SS
Number ~ncr~£ced at week 57 - 10
Dose - &O ms. )916.
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
r,,o

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-20-
level:- 60 uS
TAN~ 1B
AI~LYSZS 0Y V&KIJ~CZ
Time'-
32 weeks
So~irce
Between ciKs~ceCte8
Condensate doses/cigarettes
CiKs~ecces ~ doses
Dose linear
Dose non--1 ~aear
Total
X2 d.£.
2.9366 1
8.2838 2
0.3704 2
8.0041 1
0.2797 1
ii
11.5908 5
In (b) = tt + a l 4. a2 In (dose)
Cisarect:e ed~fec:t - aI - 1.679211
Dose/response Fadleut - 82 - 5.661305
T~rJ4~enic ~st:io m up (ml/a2) - 1,345
95X limLcs:- 0.91 to 1.15 x lOs
Ratio:- az/S.Z. (a2) - 2.01 (93.1X)
Total .C.b.a. - 6
s~m. z
91.34
98.41
16.91
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
%O
"-.d
r',o

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-21-
level:-
60 ug
2B
JL~U~I.TST.S OF VAP.~CE
Time:-
36 vee~s
Source X2
Be~een cilitreCCts
Conde.t]dsat;e d~s es/cigareCCes
C~K~L~eCtes e doses
Dose l£neax
Dose nou-l£neo.r
i i
Total
2.1768
9.3460
O. 9623
8.5374
O. 8086
• i , • ,el
12.4851
d.f.
1
2
2
i
1
5
Hode1"- in (b) - . 4- a: + s2 1-, (dose)
CiKa~eCte effect .- a1 - 1.19631&
Dose/response ~adJ.ent m s - &o601098
2
Tu~nriemstc ratio " 8Xp (el/82) -- 1.297
gsz t~nics:- 0.905 to 7.057
Bal:;o:- 82/S.E. (a2) - 2.30 (96.5Z)
Toes1 o.b.e. - 8
SiS. Z
85.99
99.07
38.19
99 • 65
63.15
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
O
(..J'l
%0
.-..,q

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-22-
level --
60 ug
TABLE 3B
ANALYSIS OF VARIANCE
Time:- 40 weeks
Source
Between ciglureCCes
Condensate doses/cigarette8
C£sarecces *dolts
X2
2. 1652
9. ~363
3. 1002
d.f. Sis. g
1 85.88
2 99.09
2 78.78
Dose l£nesr 9.4024
Dose non-l£neer 0.0039
Total 14.6716
1 99.78
1 4.98
5
Model:- in (b) u ~ + aa + 82 In (dose)
C£1;axel:ce effect - aI - 0.939528
Doge/response jTadient . m2 . 3.444056
Tumorigenic raC£o - exp (alia2) - 1.314
95g limltss- 0.926 to 3.382
EaC£o:- a2/S.E. (a2) -2.66 (98.8Z)
Tonal t.b.a. - 13
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
c.am
r',o

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-23-
2eve1-
.m
60 ~g
TABLE &B
LNALYSIS OF VARIANCE
T4m*=-
~4 reeks
• eL~eem ciKmreCtes
Condeussce doses/c£sm:eCtes
C£lmrectes * doses
X2
3.7118
7.228O
1.1888
d.fo
1
2
2
8iS. Z
94.60
97.31
44.81
Dose linear
Dose non-llnear
ToCal
5.3318
1.8962
12.1286
1
1
5
97.91
83.15
Hodel:- lu (b) -. ÷ aI ÷ a2 In (dose)
C£$a:eCCe e~£ecC - s1 - 0.972316
Dose/~espoDse ~iemc m, s2 m 1.908144
Tumor£sen£c ratio - amp (ml/&2) m 1.665
95Z l~m4Cs=- 1.008 ¢o 81.822
~Clo=- e2/S.E. (s2) - 2.22 (98.0Z)
Total t:.b.&. - 20
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-24-
level:- 60 ~g
TABLE 5B
ANALYSZSOFVARXANCE
T~:-
Source
BeCvssn CLKaZettes
Coudens&te doses/c£gazettes
CiKarettes * doses
Dose linear
Dose non- 1£near
Tor~tl
X2
i
6.37/,9
4.6925
1.0056
A.2297
0.&628
12.0730
~del:- In (b) - V ÷ aI ÷ a2 In (dose)
CiKarette ef£ect = a1 = 1.198353
Dose/response gradient - a2 t 1.557830
Tumorigenic ratio - exp (al/a2) m 2.158
9SZ 1is~.=s:- 1.176 to -
Kat/o:- 82/S.E. (a2) - 2.01 (97.1Z)
Tor~l t.b.a. - Z3
d.f,
I
2
2
1
1
S
48reeks
SiS. Z
98.84
90.43
39.52
96.03
50.37
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-25-
o~
6O ~g
TABLE 6B
or yxnJJ cz
o'
Time:- 52
Source
i i
BeL~Veel~ cilax'et tea
Coudensate doses/cigarettes
C£Sm.rel:tes * doJeJ
X2
9.6L81
4.7251
1.0970
!d.f. sis. z
1 99.81
2 90.58
2 42.22
Dose 1Lnear 4. ~)28
Doses uon-l£near O. 3223
Tot81 15. ~02
1 96.~1
42.98
$
L~del:- In (b) - ~ + a1 + a2 In (dose)
Cigarette e~fect - aI - 1.&O39&6
Dose/response gradient - • = 1.&92938
2
T~mor£gen£c rat£o - e~ (a:l/a2) = 2.561
95X 1£m£ts:- 1.337 to m
]Lst£o:- a2/S.K. (a2) -2.06 (97.5Z)
Total t.b.•. - 26
atom--
C>
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-26-
DHBA level:-
TABLE 7B
ANALYSIS OF VARIANCZ
60 US
Becveen ciKmrec~ex
CondeneaCe domes/cismzetCoe
ClsaceCtes * doses
Dose linear
Dos8 non-lLn~ar
X2
3.86OO
$. 4132
O. 3209
Total 9.5942
Tim4= -
d.f°
I
2
2
1
1
5
57 v~ks
Sis. Z
95.06
93.32
14.82
g7.96
14.26
Modsl:- In (b) - . ÷ aI + a2 In (dose)
CismrecCe effect - a1 - O.765875
Dose/response sradlent m a2 m 1.420382
TumoriKenic ratio - oxp (al/a2) " 1.715
95Z ltmLCs:- 1.058 eo 42.027
hCioz- a2/S.E. (82) . 2.28 (98.$Z)
Total c.b.a. ~ 35
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-27-
DHBA level : -
120 ug
8B
&t~J..YSIS OF VJU~[J~
~o'
TjX~:-
Source X2
Jl Ni,
3eL~ee= ciKa~Te~tes &,. 2855
Condensate doses/cigazettes 0.28~
Cigazet~es w doses
1.8863
d.f.
1
2
2
Dose l~:ea: 0.2~Jd) 1
Dose not~ linear 0. O&IA 1
Total 6.A571 5
Hodel'.- In Cb) - U + aI ÷ a2 1= Cdose)
Cigs~ette e~fect - a1 = 1.8587&4
Dose/respoDee gYsdient - a2 m 0.659777
Tu~ori6e:L~C ratio - e~p (al/a2) - 16.730
95Z Z~J~ts:- cannot be calculated
Eatlo:- e2/S.E. (a2) -0.49 (67.5Z)
Tote1 t.b.a. - 7
32 vee~s
SiS. X
96.16
13.30
61.06
37.87
16.12
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
",,o
",O

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-28-
DHBA leveI---
120 ~B
J~kLYSIS OY VAR3ANCZ
Source
Betveen ciKarettes
Condeumate domes/¢~Karette8
C£Karettes * doses
Dose linear
Dose non-linear
X2
3.6854
0.6724
2.8698
O. 1~0
O. $183
Tot81 7.2276
p°
Time=- 36 weeks
d.£. S£g. Z
1 94.51
2 28.55
2 76.19
1 30.$3
1 52.8~
5
Hodel:- In (b) - ~ + aI + m2 lxa (dome)
¢Lgaretce e££ecc - a1 - 1.188336
Dose/response K=adient - a2 m 0.397060
T~r£menic ratio - exp (81/82) - 19.942
9SZ limits:- cannot be calculated
Ratio=- a2/S.Z. (a2) - 0.39 (64.7Z)
Total t.b.a. - 12
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
k..rl
%.0

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-29-
DMBA level:-
SOUECe
120 ~8
TABLE 10B
ANALYSZS OF VARIANCE
Between ciKa~sttes
Condensate doses/ciKarettes
Cisa:ettes * doses
Dose l£ne~sr
Dose non-linear
X2
9.0432
1.O847
1.99.50
0.89h9
0.1898
Total 12.1229
Time:-
d°f.
e
1
2
2
1
1
5
40 weeks
SiS. Z
99.74
41 • 86
63.12
Model:- In (b) - ~ + a1 + a2 In (dose)
Cisarence effect - aI - 1.659857
Dose/response Er&dlent . a2 m 0.804559
TumoriEenlc =atlo - exp (al/a2) " 7.870
95Z Limits=- cannot be calculated
Katio:- a2/S.Z. (a2) - 0.96 (81.8Z)
Total t.b.a. = 17
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
%0

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-30-
lave1:-
120 ug
TABLE lib
Ab~LYSIS 0Y VAR3ANCE
B,
Time:- 44 week8
Source X2 d.f. Sis. Z
k~wten cigarettes 14.3973 1 99.98
Co~de~sitt dolts/c4j&rettts 2.1209 2 65.37
Cigarettem t doses 1.6982 2 57.22
Dose linear
Dolt non--linear
2.1142
0.0067
Total 18.2164
1 85.tl
1 6.52
5
~>dtl:- In (b) - U ÷ aI + a2 In (dose)
C~8arette e~£ect - 81 - 1.958985
Dole/~espouse ~adLent - a2 - 1.116325
Ttsmori.geslic =triO m 48~p (81/82) m 5.783
95Z 14mit8=- cannot be calculated
lac:i.o:- a2/S.E. (a2) - 1.43 (91.$Z)
Total t.b.a. - 21
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-31-
level:-
120 ~g
TABLE 12B
ANALYSIS OF VAKIAHCE
Time=-
Source
BeL~een ciKarettes
Condensate doses/c~Karettes
Cigszettes * doses
X2
18.1682
5.0542
0.8114
d.f.
1
2
2
Dose linear $.0323
Dose uon-l£uear O.OO19
Total 2A. 0338
1
1
5
Hodel:- In (b) = u + a1 + a2 ]L~ (dose)
C£$arette e££ect - 81 - 1.703231
Dose/response Krsd£ent - 82 - 1.401A32
Tumor~Sen£c rat£o - ezp (ez/a2) - 3.371
95X li:~ts:- 1.391 to-
ILac£o:- a2/S.E. (a2) - 2.L9 (98.2.Z)
Toes1 t.b.8. - 32
68 veeks
SiS.
>99.99
92.01
33.35
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
%.0

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE
.......................................................................... --""T

-32-
DH2~ ZeveX: -
120 Ug
A)gALYSZS OF VA]tZANCE
Time=-
52 weeks
Source X2
BeL~esn CiilLCaCCeS 20.3990
Co,,AensaCe doses/c£Sareeces 2.9172
Cigm:oCees * doses 1.0170
1
2
2
SiS. Z
>99.99
76.74
39.86
Dose linear 2. 1929
Dose =o~-linesr O. 7243
To tel 24.3332
1
1
5
Hodel:- lu (b) - . ÷ a! ÷ s2 1- (dose)
Cigarecce effect - a1 - 1.619968
Dose/response gwed£enc - a - 0.833235
2
Tumorisenic ratio - exp (al/s2) -- 6.988
95Z 14m;CS:- cannot be c41culsced
Ratio:- s2/S.E. (a2) - 1.47 (92.5Z)
Toes1 C.b.a. - 38
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
m
C~
',..O

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-33-
level--
120 tJg
T.~LE 14B
ANALYS~S OF VA~CE
Time :- 57 weeks
Source X2
Between c~lla~ettes 20.3813
Condensate doses/eiK~ettee 1.7613
CiKaretts8 . doses 0.7346
Dose liuea~ 1.453~
Dose non-linear 0.3079
Total 22.8773
d. £ • Sis. Z
I >99.99
2 58.54
2 30.7h
1 77.20
1 42.10
5
Hods1:- 1= (b) - ~ + & + s 1= (dose)
1 2
C£Karette effect - • -- 1.511051 1
Doee/=eeponse sradilmt m S " 0.643794
2
TumoriKen~¢ ra~Lo - e~p (Sl/a2) " 10.455
95X limits:- cannot be calculated
Ratio:- s2/S.E. (a2) - 1.20 (88.1Z)
Total t.b.a. - &2
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
m

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-34-
DMB& Zevel:- 180 pg
Tk~.£ 15]S
,. sis oF v,utu..
Time"
om
32 weeks
~Otl~Ce
Between ¢tSaLTettes
Co~ensate doses/cigarettes
C~sarettes i doses
X2 d.f. Sig. Z
2. 2506 1 86.6/,
O. 1800 2 8.61
O. 3971 2 18.01
Dose l;,,eaz O. 1.25~ 1
Dose non--linear O. 05~6 1
Total 2.8277 $
Model:- In (b) - u + a1 + a2 In (dose)
Ciiarettt effect = aI = 0.861093
Dose/respoDJJe Sradi.eDt" - a2 " 0.349306
Tumorigenic ratio - exp (al/a2) - 11.765
9SZ ltmJ.ts:- cam~t be calculated
Lst£o:- a2/S.E. (a2) - 0.35 (63.3Z)
Tor.al t.b.a. - 13
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
-1::,.
k.m

-35-
180 u6
16B
~qALYSZS OF VARIANCE
Source X2
Betveen Cil;aXettes
Condensate doses/c£1~a~ette8
Cigarettes e dolt!
Dose linear
Dose non-llnear
Total
T~=-
do~.
3.6431 1
0.4396 2
0.3604 2
O. 1OO9 1
O. 3388 1
6. &231 5
36 weeks
SLS. Z
94.37
19.73
13.65
Model:- In (b) - ~ + aI + a2 In (dose)
CiKaretts effete - a - 1.042530 1
Dose/response ~radlent - a - 0.291057
2
TumoriKen£c ratio - exp (al/a2) m 35.9&I
95Z llmlts:- canton be calculated
Ratio:- a2/S.E. (a2) - 0.32 (62.3Z)
Total t.b.a. - 15
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
-....~

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-36-
TJ~3L~ 17B
J~q<SIS OF VJ~I&HCE
D"
DMBA 2eve1:- 180 WaS Time:- ~K)
weeks
Source X2 d.f.
Becveen ciSa~atces 4.3275 1
Condensate doses/cigarettes 2.0764 2
Cigarettes * doses 0.2121 2
Dose l£neer 1.2045 1
Dose non-linear 0.8719 1
!
Tote1 6.6161 5
SiS. Z
96.25
64.59
10.06
72.76
64.96
ill
Model:- In (b) - . ÷ a1 + a2 In (dose)
Ci$.zette effect - aI - 0.94A481
Dose/~esponse I;rmdieur. " a2 m 0.859230
Tumordsen~Lc :sC£o - ~cp (sl/a2) - 3.002
95Z l/rains:- cmanot be calculated
Ratio:- az/S.E. (a2) - 1.O9 (85.5Z)
Total r.b.a. - 21
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
k.,r'l

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-37-
DM~,A level:-
180 P8
7JLEI~Z 18B
ANALYSIS OF VARIANCE
Time"
o~
~ource
Be~een ciKarettes
Co~tnsate doJts/¢i|trtttts
Cigarettes * doses
X2
$.0870
3.0348
0.1652
d,~o
1
2
2
Dose linear 1.8686
Dose non-linear 1.1662
Total 8.2871
1
1
5
Hodel:- In (b) - . + aI ÷ a2 In (dose)
-Cigmrette ef£ect - al " 1.012049
Dose/response Ir=adlm~t - a2 - 1.053571
Ttmor~$eeaic ratio " eXp (al/a2) " 2.613
95Z 1;m;ts:- caauot be calcul&ted
!~£o=- a2/S.5. (a2) - 1.35 (90.4Z)
To1~1 :.b.a. - 22
reeks
S£S. Z
97.59
78.07
7.93
82.84
71.98
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
",.O

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-38-
DI~A l~el :-
180 ;~g
~LE 198
ANALYSIS OF YAKIA~CE
T:iJs8 =-
Sc~cce X2
,. ii i
htveen c£Karettes 5.3378
Condensate doses/c£SSXettes 2.3036
C£Karsttes * doses 0.0014
d.f°
1
2
2
Dose l£near 0.5~k
Dose non-llnear 1.7592
Total 7.6&28
1
1
5
)lode1:- In Cb) - p + aI + a2 In (dose)
C£gaxecte effect - a1 - 0.881178
Dose/response 8radient - 82 " 0.4823].5
TumoriK~nlc ratio - exp (81/82) - 6.215
95Z limits:- ~t be calculated
Ratio:- a2/S.E. (a2) - 0.7A (76.7X)
Total c.b.a, m 30
h8 weeks
S£g. X
97.91
68.39
0.07
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
m
O',,
...................................................................

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-39-
DKBA level--
~80 ug
TABLE 20B
J~U~LYSIS OF V.~R3..~CE
D'"
Time:-
Source
Between cigarettes
Condensate doees/cigarettem
C£guettts * doses
X2 d.f.
8.370A 1
1.4971 2
0.0599 2
Dome lineutr O.4721 1
Dome non-linear 1.0250 1
Total 9.9274 $
- + a2 In (dooe)
Hodel:- In (b) u + a1
Cigarette effect mal - 1.055620
Dose/response 8radient " • - 0.421762
2
T~motiKen£c rat~o - up (el/e2) - 12.218
95X l~itms- cannot be ¢81culated
Ratio:- •2/S.E. (a2) - 0.69 (75.2~)
Total t.b.a.. 3A
52 reeks
S£g. Z
99.62
52.70
2.95
50.80
68.87
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
O',,
................................................................... ---r-

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

-40-
TABLE 21B
ANALYSIS OF VARIANCZ
wo"
DMBA level:- 180 US Time:- 57
weeks
Source X2 do£. Sis. X
i I
BeL-veen ciEareCte8 7.6595 1 99.44
Condensate doses/c£1r~LTetCeS 2.5460 2 72.00
C£SareCCes * doses 0.1791 2 8.57
Dose l£uear 0.3894 1
Dose non-llnear 2.L567 1
Toes1 10.3846 5
Hods1:- In (b) - ~ + a ÷ • In (dose)
1 2
Cisa:e=te ef£ecc = aI . 0.940983
Dose/response $=adienc . a2 . 0.362373
Tumorisenlc reels - exp (el/e2) - 13.&20
95Z limits:- cannot be calculated
Lscio:- a2/S.Z. (a2) - 0.62 (73.0Z)
Tonal t.b.a, m 38
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

~,G -£.
'-4"
30 3-0
,T.8' "1"
£~ -s'
-Z~
7.0 'Z~
II ' "S'
I£ ' -6"
14 • -~
It. -Z
I0 'I-O
I "-I
G "'&
4"-4'
2-- .Z.
o. 0
FI& I RD. I404 RESTRICTED
PL.OT OF LN ('TIJHOFLIGENIC iI~TKI)
NUMBERS OF TUMOUI~- I~EAFWNIG AHIHAL5
v.. WEEK OF Ex .Em"
40 "0" "tmUUE~S "LA" ......... I ~.
-' I)OSE/I~SeONSE SCOeE X-.-- -- - ~X. . "-
38
"17."
'10 "
2"
o
4~
"Z'
Ot
II
. ~ ! ! I ,, I
,~ ~ 40 44- 41 2 57
TIME IN WEEKS
C~
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

FIG.2 R[3. | 404 RESTRtCTED
PLOT OF LN ~'TUHORISENIC P, ATIO~
95% CONFIBENC, E LIMITS OF LN ('TUM. IU~TIO")
SLOPE OF. OOSE I RESPOf~SE LINE
NUHI~ER$ OF "TUM01~,IIL- I~IEARING ,4~IIMAIS,
Vs WEEK OF EXPERII~EN'I"
El
LPI ~IIIPIL ItATI0 ~ .¢ONDENSAlrlE3 B~ll ~B~/Ib
95% UNITS + ~----~ II0~Mj OMIA
~ ~ DOSE/IIfIPOINSE IL01~ X .... X --
|
NUNBEitS T. I)-/~ ..........
3O
ZI"
Z4~
~C
II
14
II
I
G
4.
O.
Omoe
•o
el
sS°
oa,~
L,w°
,,° ~-
.E
LD
X
4-
G)
4-
I I I I I I
I
3~ 40 44- 48 5Z 57
TIME IN IIN~EKS
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

Ft6.3 RO. 140 4 RESTRICTED
PLOT OF LN (TIJHORIGENtC P.A"rl0"~
95% CONFIDENCE LIMITS OF LN ('TUM. RATI~
SLOPE ,.OF DOSE I RJ'r.SPONSE LINE-
.NUI~SF.R,S OF "t'UMOUR-BEP, RING ANIMALS
~ wEE~ OF EXPEmH~NT
i"
"~ 9s % UMITS +--.---~ ISO/,~ DMIJJ~
~ DOSE/RESI~NSE SLOPE ~- - ---~
~.. ~ ttUMIbf.l~ T.I~.A. - .........
" olI ~" 14.0"~
2.6"" "6~"
2A-'" -4.'I l'L- 0"i"
2Z-" -L'~-
Zo- Z~-tto0#
16, - . II-O-I-
14-
"~1" 60"1"
,-o~-
" -I ,4.,o-I-
''&
4 -4 -Z~"
Z --t.
@ ,0 O_
B
O~
J
pPP••
,° ~
0S4'/•4'
-° &qll
X
X ~ ..o
• t% /' .-'"~'
\,'..-'- .......... \
+
®
+
1 # I ' I .... I
! I
.liP., 36 40 44 41 52. 57
TIME IN ~NEFJKS
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
¢.r"t
C7'.,,
(DO
........................................................................................ --'r

FIB. 4 P,I). 1404 REST~LCTF..D
PLOT OF LN ~ Vs
WEEK 3Z
LN
6 911 ¢~ .....
bWl; X-- -- -- '-X
(WElaUU.
I!-0"
I~'0
14 -O
i I '
3<) 3-34 3-&9
DOSE LEVEL-)
f.n (~ONDE NSATE
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
60
I?..0
180
t
LEVELS
m
(.71
'.,,C
-...j
C"-

.PLOT OF LN
FIG.5 RD. 1404 RESTRICTED
(~#EIBULL ~ Vs
WEEK 36
LN ~DOSE LEVEI~
bg! I. @ 3,
BgI& ~ ..... K
~('WE,BJLL @
IZ-O . /6O
III0 8o
Iso
13-0 I1~0
/ ":'"
//
/ ,,:,"
/ ,',"
........
X ...... "X f,O
I t I
3- 0 3-34- 3-69
t.n ~ONDE NSA'I'E
DOSE LEYE~
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
m

FIG. 6
PLOT OF LN ~WEIBULL b")
V5
LN
RD. 14-04 RESTRC.TED
CDOSE LEVEI..~
BAT Co
I~,°0.
~°0'
m/& x .... x
60
IlO
XllUD
/
/
I
/
I
I
/
I
/ XIZO
~'CONDEN°~a~TE .OOSE LEVEI..~
| I
3-O 3-34
Cn
LTD - MINNESOTA TOBACCO LITIGATION
I

PLOT OF LN
FIG.'/
CWEmULL 0 V~
WEEK 44-
LN
RD. 1404 RESTRJC'TED
(OosE t.~VE L9
~1 I Q ®
Bgl k X ,X
t.~ ('W'EIBULL b)
I:'-0-
120
IIW3
13-0-
/
1
/
/
/
/
/
/
!
LEVEL)
C~T~ DOSE
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
r,,,o

FIG. B
PLOT OF L.N (WEilSUL.L b~ V$
WEEK 4.8
~. (I~EmULL 0
RD. |4.04. RES'TRIC'TED
LN (DOSE LEVEL.'~
v
IZ-O
/
/
/
I
I
I
/
/
/
/
/
/
i
/
/
/
/
!
/
/
! I
~. (CONDENSATE
/
/
/
/
/
• D,C~E LEVEO
/
/
q~
Xt, O
O ii
5~9
0
-¢..~
BAT Co LTD - MINNESOTA TOBACCO LITIGATION

FIG. 9
PLOT OF L N (~WEIE~JLL ~ V5 LN (DOSE LEVEL)
WEEK 5Z
e,~ CWEmUUL. 6") - 0 e,9ll
B'~I¢,
IZ.O-
&O
" IZO
13-0 ~ / /,X IBO
/// /X lEO
14-0-
mo x,.
ILO X
\
\
\
7,-..
\ /" ,,X/
\ /
x /
\ I
\//
,\
/ \
/ \
/ \
/ \
I
I
I
I
60X
I
..~-0
/
/
/ I
/ /
/
/
/,, /
i~-
/ ",
/
/
/
I
I
I
I
I
I
\ /
\ /
X
t.a. CCONDEMSATE" DOSE
LEVEL~)
,X f,,O
!
KD. 14.04 RES'I'RICTED
BAT Co LTD - MINNESOTA TOBACCO LITIGATION
k.,"l
".4=>
-.,,,.,j

BAT Co
FIG. I0 RD.1404. RES"I"~ICTED
PLOT OF LN ~WEIBULL b~ V$ LN(OOSE LEVEL_,~
w£,,,,, EK 57
b~I/I (;
BIP/¢ X .... x
~,~ O~IEIE~IJLL b.) "
-- llZ.O
~-0"
13 •
2
~4"'0'
mo
y
s /
% /
I
t2.0 X,,. ~' s
% s
/
% ,, /
% % • /
GOX-- .... x-c- -- -- • /
• /
/ /
"~'s "
/
/
I ,I
S-O S-:34-
~.ONDF..NSATE DOSE LEVEt~
I
LTD - MINNESOTA TOBACCO LITIGATION

INDEX
HAS
INDICATED
GAP IN
BATES
RANGE
HERE

BAT Co LTD - MINNESOTA TOBACCO LITIGATION
