Full Mathematics For The Clinical Laboratory E Book 3rd Edition, (Ebook PDF) Ebook All Chapters
Full Mathematics For The Clinical Laboratory E Book 3rd Edition, (Ebook PDF) Ebook All Chapters
Full Mathematics For The Clinical Laboratory E Book 3rd Edition, (Ebook PDF) Ebook All Chapters
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Example Problems
Practice Problems
Bibliography
Body Fluids
Reticulocyte Count
Osmotic Fragility
Example Problems
Practice Problems
Bibliography
Rh Incompatibility
Monitoring Pregnant Patients for Hemolytic Disease of the Fetus and Newborn (HDFN) Using Antibody
Titration
Example Problems
Practice Problems
Bibliography
Example Problems
Practice Problems
Bibliography
Example Problems
Practice Problems
Median
Mode
Gaussian Distribution
Variance
Standard Deviation
Coefficient of Variation
Example Problems
Practice Problems
Bibliography
Westgard Multirules
Example Problems
Practice Problems
Bibliography
Proficiency Testing
Example Problems
Practice Problems
Bibliography
Appendix 14-A
Appendix 14-C
Index
Copyright
Notices
Knowledge and best practice in this field are constantly changing. As new
research and experience broaden our understanding, changes in research
methods, professional practices, or medical treatment may become necessary.
Practitioners and researchers must always rely on their own experience and
knowledge in evaluating and using any information, methods, compounds,
or experiments described herein. In using such information or methods they
should be mindful of their own safety and the safety of others, including
parties for whom they have a professional responsibility.
With respect to any drug or pharmaceutical products identified, readers are
advised to check the most current information provided (i) on procedures
featured or (ii) by the manufacturer of each product to be administered, to
verify the recommended dose or formula, the method and duration of
administration, and contraindications. It is the responsibility of practitioners,
relying on their own experience and knowledge of their patients, to make
diagnoses, to determine dosages and the best treatment for each individual
patient, and to take all appropriate safety precautions.
To the fullest extent of the law, neither the Publisher nor the authors,
contributors, or editors, assume any liability for any injury and/or damage to
persons or property as a matter of products liability, negligence or otherwise,
or from any use or operation of any methods, products, instructions, or ideas
contained in the material herein.
2015016844
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Note to the Student
Congratulations on deciding to become a valuable member of the health care
team as a clinical laboratory professional! Enjoy the sense of accomplishment
that will come with learning and performing the math that is essential for
accurate and precise laboratory results. Remember, this book will be a
valuable resource and companion well into your career.
Welcome to the profession of clinical laboratory science!
Acknowledgements
I would like to thank my family and friends, especially my sons Steven and
Kenneth, and my dear friend Anis (Andy) Tannier, PhD, for providing love
and support while this book was being written. I would like to thank
laboratory professionals in general for their hard work and dedication to
their profession. Special thanks to Betty Ciesla, Glenn Flodstrom,
Christopher Harmon, and Debbie Snowberger for their technical assistance
and encouragement.
I would also like to thank my colleagues, both past and present, at Anne
Arundel Community College for their support and encouragement, and the
chapter reviewers who provided me with valuable feedback, including Linda
Ray from the MLS program at the University of North Dakota for her
assistance with Chapters 6 and 11. I especially want to thank Mary Coleman
from the MLS program at the University of North Dakota for her eye for
detail, knowledge of significant figures, and her ability to catch errors before
they went into print. And last but not least, I would like to thank Jean Sims
Fornango, Tracey Schriefer, and Kellie White at Elsevier for helping to make
this third edition a reality.
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Red Breek, and the Bilbos and McArthurs are to range from Pearl
River to Pascagoula; and,” said they, “your party can range from
Mobile to Pascagoula, and you can pass horses or negroes from
Georgia to Florida on this route through to Louisiana, without
discovery, and so from Louisiana in the same way.” I then told
Wages and McGrath both, that I was still afraid of their new
acquisition. I then proposed to them to remove our money from
Hamilton’s Creek, and place it somewhere near where Wages was
going to settle. I made this proposition because I believed that this
counterfeiting business would be the means of getting us into
trouble, and that we could procure our money more easily from that
vicinity than we could where it was.
I had then arrived at the age of majority and began to have a
more reflecting mind, and I never did have any reliance or
confidence in that money arrangement. Wages then informed me
that he was engaged to marry Allen Brown’s daughter, but did not
know what time; it might be a year before he did so. “McGrath,” said
he, “is now married, and will move to Honey Island shortly; I shall
be engaged in preparing our shop and arranging the materials, and
making preparations for the settlement of my home.”
They then told me that Niel McIntosh, would also be one of our
clan, and that he would travel to and from Mobile to our other
places, as a spy, and look out for us. They left the next day for
Mississippi, and I saw nothing more of either of them for over twelve
months. Niel McIntosh made several trips over and back, and always
had plenty of their money, but I was always afraid of it. He passed a
considerable amount in the vicinity of Mobile, and made something
by it.
John Harden brought three or four fine horses, one, he said, from
Florida and the others from Georgia; I advanced him the money and
passed them on to Wages, who sold them for me. S. Harden made
two trips to the vicinity of Mobile that year, one from North Alabama,
and one from western North Carolina: The first trip he brought two
good horses and a likely negro boy. I assisted him to sell the horses
near Fort Stoddart, for a fine price, to some men going to Texas. I
then furnished him two ponies and sent McIntosh to pilot him
through to Wages, who paid him for his negro and sent him to
Pearlington, where he again embarked for Tennessee, by way of
New Orleans.
About four months afterwards Harden returned again. He had two
splendid horses, fine traveling equipage, and a likely mulatto girl
about sixteen years old, dressed in boys clothes, traveling with him
as his waiter. He said he had traveled through Georgia and Eastern
Alabama to Blakely, and crossed the Bay over to Mobile, and came
out to our place. He told us he feared no pursuit; that he had
traveled too far, that there was no danger. I assisted him in selling
the two horses, in Mobile, and saw them often afterwards. They
were fine buggy horses. The girl he sold to a man in Mobile, who
kept her as a wife, and she now passes for free. He had stolen her
from a rich old widow lady in North Carolina, who had sent the girl
on an errand, on a Saturday morning, some twenty-five miles on the
same fine horse, to return on Sunday evening, and she never did
return.
In these two trips of Harden’s he gave me five hundred dollars for
my assistance. I then assisted him to steal a very fine horse on the
Tombigbee River, for which he gave me fifty dollars more, and left
for Tennessee. This had pretty well consumed the fall of 1845.
In December, Wages came home to his father’s; sent for me; told
me that he was going to get married shortly, and invited me to his
wedding; I promised him I would go if my business did not prevent
me; but it so turned out that he did marry a short time after, and I
was not present. After his marriage, he brought his wife to see his
father and mother, and spent some weeks with them. He had with
him plenty of counterfeit coin, and wanted me to take some and
pass for him. That I refused to do, and I then advised him that it
would be better for us all to let that alone; and then reminded him
that when there was none but him, McGrath and I together, that we
could get along to better advantage, do a more profitable business
and had a wider field to operate in. But he seemed to think that they
could manage to get along; and I found from his conversation that
old Allen Brown had got control of him, and I said no more on the
subject. I told him frankly that their money I would have nothing to
do with; but in other matters of stealing and selling horses, negroes
and cattle, I would take a hand as heretofore, to which he assented,
and here we dropped the subject for the present. I again urged
upon him the removal of our money. I dreaded an outbreak, for I
then believed that old Brown would blow the whole matter; and sure
enough he afterwards did.
So Wages and his wife left, and went back to Mississippi, to old
Brown, and he went to work building his house on Catahoula, in
Hancock County. He got it completed; moved into it; took his horse;
came again to Mobile; procured his father’s two horse wagon to haul
some articles for house-keeping from Mobile, and on his way back I
went with him, the first night, and we camped near where our
money was buried. We went and got the three kegs; placed them in
the bottom of his wagon, covered them with hay and placed the
balance of his load on them. He hauled them out to Hancock county,
and deposited them in Catahoula Swamp, about a mile and a half or
two miles from his house, and designated the place by a large pine
tree that grew at the margin of the swamp, to the north-east, and
about thirty-five yards from where the kegs were deposited, and a
magnolia tree that grew about ten yards to the south-west. He gave
me a diagram of the place, the courses, and distances which he had
measured accurately, marked in lines and explained in our mystic
key. That paper I somehow lost in the famous Harvey battle.
So it was Wages left and went to his place. Now he and his crowd
were for themselves, and me and my crowd for ourselves. My crowd
consisted of myself, and four brothers, Josh Walters, Jef. Baker and
old McIntosh, our outside striker, to run stolen horses or a negro,
when required. Our range was from Mobile to Pascagoula, and from
the Sea Coast to St. Stephen’s. We fed ourselves and families upon
pork, beef and mutton, in abundance, and we sold enough in the
market to pay us from fifty to one hundred dollars per month—
sometimes ready butchered and sometimes on foot, during the
summer and fall season. Those we sold the meat of, we generally
stole in the vicinity of Mobile. Old man Wages had a farm on Big
Creek Swamp, about twenty-five miles from Mobile, in rather an
obscure place. That was our place of resort and deposit, and many a
stolen beef and horse has been concealed there until we could
dispose of them.
We continued that business during 1845, 1846, and until the
summer of 1847. We had stolen a small drove of cattle out near
Chickasahay, and in driving them we gathered a few head near
Mobile, belonging to old Moses Copeland. We sold the cattle to Bedo
Baptiste, who paid my brother Henry and I for them. We claimed
them; Whinn, or Isham and John helped to drive, but received none
of the money. My brothers Henry and John, and Isham or Whinn,
were arrested and tried. Henry was convicted of the larceny and
served two years in the penitentiary of Alabama. Whinn and John
were acquitted; I took to the bushes. They did not catch me that
hunt, and I lay in the woods and was concealed among my clan the
balance of that summer, most of the time at old Wages’, on Big
Creek, waiting for Gale Wages to come so as to make a settlement
with him, and to close my business and leave the country.
The time passed on slowly. I stopped all further operations until I
could hear from Wages and McGrath, and, lo! some time late in the
fall up rolled Wages and old Brown, and sure enough old Brown, as I
had anticipated and expected, had blown the whole concern. He had
gone into the little town of Gainesville and passed a few dollars of
their money for some small articles of trade, where the old fool
might have known he would be detected; and sure enough he was.
Now the next step was for him to get out of the difficulty, and when
asked where he got the money, he said “from Bilbos.” They were
arrested and brought up, and he swore it on to them, and they had
to give bail to answer the charge of passing counterfeit money.
Bilbos then swore vengeance against Brown and Wages, who had
pulled up stakes and were leaving Hancock county, and Mississippi,
too. The Bilbos pursued them, and passed them some way; turned
back, and the parties met suddenly on a small hill. While one party
ascended on one side the other party ascended on the other side,
and both parties were within a few paces of each other at first view.
Wages had the advantage of them; he had his double barrel gun
well loaded and fresh caps on; Bilbos had their rifles well loaded and
fresh primed, but they had a rag over the powder in the pan to keep
it dry. These rags they had to remove before they could fire. Wages
immediately fired and killed one of them dead, and then fired at the
other before he could get ready to shoot and broke his thigh. From
some cause Bilbo’s horse got scared and threw him to the ground,
and he immediately begged for his life. At first sight of the Bilbos old
Brown ran, so Wages said.
Now it was that Wages and Brown both had to make their escape
the best way they could. They came to Mobile, and there they were
on the scout, as well as myself. McGrath was so well identified with
them that he was watched very closely about Gainesville. He got into
some corn stealing scrape, and broke into Hancock jail, and nothing
but the gold or silver key ever turned him out. He and Wages
happened to have a little of that, and he and his wife then left
Honey Island, and were at Daniel Smith’s, on Black creek, in Perry
county. So it was Brown and Wages managed to get their families,
and McGrath and his wife back into the vicinity of Mobile some time
in November, 1847.
Wages and McGrath had very near got through with all their
money. McGrath, in particular, had none, only as he borrowed.
Wages had some, but had spent a large amount in feeding and
clothing old Brown and his gang. Wages and his wife remained on
Big creek at the old man’s place, and I the greater part of the time
with him. Brown and McGrath moved down on Dog river, near Stage
Stand, pretending to burn coal and cut wood to sell, but they were
in fact stealing, for they had nothing to eat and but little money.
Brown had sold his possessions in Perry county to Harvey, and had
received all his pay but forty dollars. He had represented his land to
be saved or entered land, when it was public land, and Harvey
refused to pay the forty dollar note, and that same pitiful note, and
Brown’s rascality and falsehood cost Wages and McGrath their lives,
and Harvey and Pool their lives, and have placed me where I am.
Wages and I while on Big creek held a consultation as to our
future course. Wages then sorely repented any connection that he
ever had with old Brown, “and,” said he, “I intend to get away from
him, for I am fearful the old fool will get drunk and tell everything he
does know.” We then concluded our best way was for Wages to take
his horse and cart, take old Niel McIntosh with him, and his wife and
child, and start west and travel in the vicinity of Pearl river; there
leave his wife; take the cart and horse and he and McIntosh to travel
down Pearl river till they came opposite Catahoula; then turn in and
get our money, and cross the Mississippi river; send McIntosh back
to let McGrath and I know where to find him, and for us to slip off
and go slyly, and not let Brown know where we were going, “and,”
said Wages, “if I can manage to rob old Tom Sumrall on my route
and make a raise, so much the better. And you and your crowd may
manage to make a raise here before you leave.”
The same day Wages and I were consulting thus, my brother John
Copeland came to bring me some clothes, and he informed me that
it was reported that old Eli Maffitt held a large amount of money,
and that there was a project on foot to rob him and burn his house
the first good opportunity; that Maffitt had taken a contract to build
a bridge in Perry county, and would shortly leave home, and that Eli
Myrick was to let the party know what time Maffitt commenced the
bridge and would be absent from home. I then told Wages what was
on foot. He then said “let me leave home about three days before,
and I will try on the some night to rob old Sumrall and burn his
house.” In a few days Myrick came down and told us that Maffitt was
up in Perry county, and would not be home in two weeks. Wages
immediately geared up, and started with his cart, his wife and
McIntosh. Three nights after that Allen Brown, McGrath, John
Copeland and I went to Maffitt’s just after dark, about seven o’clock,
on the night of the 15th of December, 1847. Eli Myrick did not go
with us, because he said Mrs. Maffitt would know him too well, but
he was in the secret and shared his part of the money.
On getting near, we stopped to consult as to the safest way to get
the money. Some were for robbing the house and not injuring any of
the family. That I opposed, for I never believed in leaving any living
witness behind to tell what I had done, if there was any way to
prevent it. I always thought that two persons were enough to keep a
secret, and it was safest if one of them were dead, for dead
witnesses give no evidence. It was agreed that we should go into
the house and demand the money, and if given up, to leave the
inmates peaceably and unharmed.
John and I went in with a very stern look, thinking we could
frighten the old lady, and make her give up every dollar that was in
the house. But we were as sternly and peremptorily refused. The old
lady said that she knew nothing about the money, and if she did,
that we would not get it; we then told her that we had come after
money and that money we would have before we left that house, or
her life; and she still bravely defied us. John Copeland had in his
hand a large hickory stick and I had another. Perceiving that she was
determined, and our only chance to get the money was to kill her,
while the old lady and I were quarreling about the money, I gave my
brother John the wink, and he struck her a blow on the head which
felled her to the floor. He repeated the blows, and I hit her several
blows. We were then certain that we had killed her. We then
commenced plundering the house, in search of the money; and we
ransacked the whole house from top to bottom, but the amount we
did find was small. I do not remember the precise amount we got,
but it did not exceed two hundred dollars, and to our great
displeasure we afterwards found out, that there was a large amount
of gold and silver in the house at the time, that we did not find.
After we had plundered the house to our satisfaction, of all the
money we could find, and each one of us had his load of the most
valuable articles about, we set the house on fire and burnt
everything up, together as we thought with Mrs. Maffitt who we
thought was dead, and we left with a full conviction in our own
minds that she would be burnt in the house. When I afterwards
learned that she was not dead, I often wondered at her providential
escape.
The gold and silver we had overlooked, was all melted, and I
understood that Maffitt afterwards took it to Mobile and disposed of
it.
Wages, in his adventure, was not so successful as we were. On
the same night, he and McIntosh camped near Tallahala, not far
from old Sumrall’s and in the vicinity of Bryant Barlow’s. Barlow
happened to pass their camp early in the night and discovered
Wages. He raised a company and got after Wages, themselves and
dogs, and Wages had to leave and take the woods for home again.
McIntosh and Wages’ wife turned back for Mobile on the Big Creek
place, where they all landed about five days after. There we were all
in the vicinity of Mobile again; Wages had made a water haul and we
had done worse. Wages was laying out, Brown and myself were in
the same situation. It became necessary for Wages, McGrath and I
to hold a private consultation, relative to our future operations, and
to devise some plan to get rid of old Brown. We could see no way to
do that, unless it would be to lie to him and frighten him to leave,
which we did. Our next plan was to manage to get our money from
Catahoula, and deposit it about the Bay of St. Louis, near the sea
coast, where we could get it on a boat. Wages and McGrath were to
attend to that matter, and I was to assist Brown over the Mississippi.
So Wages went to Brown and told him that there was a reward for
both of them, and said he, “I am going to leave, and you had better
do the same, for Maffitt has a crowd now on the look out for us.”
Brown had but little money. He then enjoined it upon Wages to take
Harvey’s note and give him the money for it. Said he, “if he won’t
pay the note you and McGrath kill the d——d rascal.” So saying,
Wages gave him the money for the note, and loaned him sixty
dollars more, and then told Brown that James Copeland would go
with him and assist his family to travel, while he, Brown, could
dodge before and behind. So the matter was understood, and in a
few nights Brown rolled off and crossed Dog River at Ward’s bridge,
where Wages, McGrath and I joined him; I took charge of the teams
and family, and Brown took his rifle and to the woods, mostly in the
daytime. We did not want for fresh meat; Wages and McGrath left
for Catahoula by way of Harvey’s, and crossed at Fairley’s; we
crossed at Robert’s and old Green court house, and up Black Creek,
on by Columbia, Holmesville and so on to the mouth of Red River.
After crossing the Mississippi, I loaned old Brown twenty-five dollars
more, bid him good-by and returned to the vicinity of Mobile. I was
gone over four weeks.
James Copeland.
This day comes George Wood, the District Attorney, who
prosecutes for the State of Mississippi, and the prisoner is brought to
the bar, in custody of the Sheriff, whereupon comes a jury of good
and lawful men, to wit: Porter J. Myers, Malachi Odom, Sr., J. M.
Bradley, Jr., Darling Lott, Malcolm McCallum, Angus McSwain, Q. A.
Bradley, J. M. Bradley, Sr., Wm. H. Nicols, W. C. Griffin, D. S. Sapp
and James Edwards, who are regularly summoned, elected and
sworn, and well and truly to try an issue joined, ore tenus, whether
or not the prisoner be of sound mind, and whether he possesses
sufficient intellect to comprehend the cause of the proceedings on
the trial, so as to be able to make a proper defense; or whether the
appearance of insanity, if any such be proven, is feigned or not; and
the evidence having been submitted to them in the presence of the
prisoner, they retired to consider of their verdict, and in his presence
returned the following, to-wit: “We, the jury, on our oaths, find the
prisoner sane; that he possesses sufficient intellect to comprehend
the cause of the prosecution on the trial, so as to be able to make a
proper defense, and that the appearance of insanity which he has
exhibited, is feigned.”
And thereupon the prisoner is arraigned on the charge of murder,
as preferred by the bill of indictment; and upon said arraignment,
says that he is not guilty in manner and form as therein and thereby
charged, and for the truth of said plea he puts himself upon the
country; and the District Attorney in behalf of the State of Mississippi
doeth the like.
And thereon come the following good and lawful men of Perry
county, to-wit: Zebulon Hollingsworth, J. J. Bradley, John A. Carnes,
Francis A. Allen, Wm. W. Dunn, Adam Laird, who were regularly
summoned on the special venue returned in this case, and who in
the presence of the prisoner are regularly tried and chosen between
the prisoner and the State; and the special venue being exhausted
the Sheriff proceeded to call the regular jurors in attendance at this
term, and Daniel S. Sapp, Seaborne Hollingsworth and Francis Martin
were in the presence of the prisoner tried, and chosen between the
State and the prisoner; and the regular jury being exhausted, the
Sheriff is directed to summon thirteen bystanders as jurors, and
from the number so summoned as last aforesaid, Milton J. Albritton
was in presence of the prisoner duly tried and chosen between the
State and the prisoner; and the said thirteen persons so last
summoned being exhausted, it is ordered that a venue issue,
commanding the Sheriff to summon twenty good and lawful men of
Perry county, to be and appear before the court to-morrow morning
at 8 o’clock, A. M., to serve as jurors in the trial of the issue
aforesaid, and the prisoner is remanded to jail, and John W. Carter is
sworn as bailiff to take charge of the jury.
Wednesday Morning, 8 o’clock, September 16, 1857.
State of Mississippi,
vs. }M urder.
James Copeland.
This day comes George Wood, District Attorney, and the prisoner
is again brought to the bar, in custody of the Sheriff, and also comes
the jury whom yesterday were duly tried, chosen and taken between
the parties; and thereupon comes James M. Pitts and John H.
Holder, who were this day returned as jurors in the case, in
obedience to the command of the venue, last issued on yesterday;
who in presence of the prisoner are regularly tried, chosen and
taken between the parties; and the jury so chosen, as aforesaid, are
empaneled and sworn, in the presence of the prisoner, well and truly
to try the traverse upon the issue joined between the State and the
prisoner aforesaid, and a true deliverance make according to the
evidence; and the evidence is submitted to them in the presence of
the prisoner, and the opening argument is heard, on the part of the
District Attorney and the further consideration of the cause is
continued until to-morrow morning, and the prisoner is remanded to
jail.
James Copeland.
This day comes the District Attorney, and the prisoner is again
brought to the bar in the custody of the Sheriff, and the argument is
resumed and concluded; and the jury are instructed by the Court at
the request of the counsel, in writing, and the jury retire to consider
their verdict. And in the presence of the prisoner return the
following, to-wit: “We, the jury, on our oaths, find the prisoner guilty
in manner and form as charged in the bill of indictment;” and the
prisoner is remanded to jail to await his sentence.
James Copeland.
This day comes the District Attorney, and the prisoner, who was on
yesterday convicted of the crime of murder, is again brought to the
bar. And thereupon the prisoner by his counsel moves the Court for
a new trial, which motion was fully heard and understood by the
Court; and is by the Court here overruled. And to the opinion of the
Court in overruling said motion, the prisoner by his counsel here
excepts:
State vs. James Copeland.
Motion for New Trial of the Collateral. }M urder.
The day arose clear and beautiful on which the sentence of the
law and of outraged humanity was to be executed on the man who
had so often violated their most sacred behests. The sky was blue
and serene; the atmosphere genial; all nature was calm and
peaceful; man alone was agitated by the various strong emotions
which the execution of the fatal sentence of retributive justice on a
fellow-man could not but create.
The place of execution was distant from the city of Augusta one-
quarter of a mile. The gallows was erected on a beautiful elevation
that was surrounded by the verdure of shrubby oak and the tall,
long-leaf pine. The ground was everywhere occupied by thousands
of spectators, gathered from Perry and the surrounding counties, to
witness the solemn scene. It was indeed one that they will long
remember.
About the hour of noon, the prisoner, after being neatly clad, was
led from the jail by the officers of the law, placed in the ranks of the
guard formed for the occasion, and the procession moved slowly
toward the fatal spot.
Soon the doomed man appeared on the gallows. The death
warrant was then read to him, and he was informed that he had but
a short time to live.
He proceeded to address the awe-struck and silent multitude. He
especially urged the young men present to take warning from his
career and fate, and to avoid bad company. His misfortune he
attributed principally to having been misled while young.
When he had concluded, a number of questions were asked by
the immediate spectators, in relation to crimes which had transpired