Source: Vaccine Impact
The number of parents questioning the wisdom of the currently recommended schedule is up and corroboration is easy to find.  An article in the journal Pediatrics in August 2016 reported that the number of pediatricians encountering parents who either question vaccine safety or refuse one or more vaccines or want to use an alternative vaccination schedule for their children increased from just under 75 percent in 2006 to 87 percent by 2013. 
A study from the Journal of the American Academy of Pediatrics  reported that the primary reasons given for vaccine hesitancy or refusal of one or more recommended vaccinations include concern over pain associated with multiple injections (44 percent); too many vaccines given at one time (34 percent); the possibility of vaccines causing autism or other learning disabilities (26 percent, down from the 2006 survey); concern that there is an association between vaccines and chronic illnesses (13.5 percent); and lack of adequate safety studies (13.2 percent). Some parents also are questioning whether so many childhood vaccines are necessary (up from the 2006 survey), and whether experience with natural disease is better for children than repeated artificial manipulation of the immune system by vaccinations.
Overall, fewer parents are focused specifically on fears of autism compared with a few years ago. Instead, parents are expressing broader concerns such as the potential effects on immune system function, worries over how the injection of so many toxins may affect their child's well-being long term, lack of adequate vaccine safety studies, and protection of parental rights to make informed medical decisions for their children. 
The general consensus that vaccine hesitancy is on the rise has spawned a host articles in the medical literature and in the media about how to "fix the problem." Many doctors and and health care professionals have serious questions themselves and agree that vaccine decisions should be left to parents, but a far more common position holds that parents should not have the final say on vaccine decisions and that it is a societal obligation for doctors to change the mind of anyone who disagrees with current vaccine recommendations. A quick Google search of "vaccine hesitancy" turns up mountains of advice on how to persuade so-called "misinformed" or "confused" parents to change their minds and get with the program.
From tired old references to the "debunked" notion that vaccines cause autism to condescending suggestions for educating, incentivizing or coercing reluctant patients or parents to accept all recommended vaccines, it can be intimidating to even admit to having questions about vaccination. It may help to know what to expect and to recognize pressure strategies that may be used.
Categorizing the Vaccine Hesitant
One of the first things recommended for doctors faced with vaccine hesitant parents (a term reportedly coined to "depolarize the 'pro' versus 'anti' vaccination alignment and to express the spectrum of parental attitudes toward vaccines ) is to categorize the parents by degree of and reasons for reluctance, in order to determine the best strategy for changing hesitancy to compliance.
Scott Halperin, MD, is credited with identifying the "five types of vaccine-hesitant parents," classified as follows in a blog post for "National Immunization Awareness Month" :
- "Uninformed But Want To Become Informed" parents are defined as those who turn to their trusted physician because of his or her expertise and want to be reassured and educated about the safety and effectiveness of vaccines. It is suggested that these parents can be educated about the science in simple terms without using too much jargon, and that sharing personal experiences—such as the fact that the physician's own children are fully vaccinated—may help.
- "Misinformed But Correctable" describes parents considered to have been fooled by exploitative, anonymous online reporting that plays into their worst fears, despite the "strength of the evidence that vaccines are safe and effective." For these parents, it is suggested that sound data de-bunking the myths they've bought into should do the trick. It is also said to be important to both acknowledge the risks and limitations of vaccines and to respect their parental authority… but to very clearly stress the "strong benefits of vaccines."
- "Well-Read and Open-Minded" parents are described as having absorbed so much information on both sides of the issue that they come to their physician with many questions and concerns. These parents require help in evaluating the information they have heard. It is recommended that the doctor have sound data and appropriate websites to refer them to, in order to refute any "misinformation" they have received. A reassuring follow-up phone call is also said to be helpful.
- "Convinced and Content" parents are categorized as those who are "convinced vaccines are bad, but come to [their physician] to prove they are open-minded." The strategy to deal with such parents is described as "acknowledging their concerns but strongly refuting them with scientific data."
- "Committed and Missionary" is the final category identified for vaccine questioners. These people are said to be "card-carrying anti-vaccine activists who try and convert you to their position." Some of the suggestions for dealing with such parents include stressing the positive effects of vaccines, and making sure they understand the responsibilities and risks they are accepting if they choose not to vaccinate. Physicians are encouraged to "Be patient, as correcting anti-vaccine myths and changing parent attitudes does not happen overnight."
Going Beyond Official Policy Education
If gentle persuasion and carefully scripted education are not enough to convince parents to fully vaccinate their children, other means of doing so have been identified by some doctors.
One ploy is referred to as "presumptive delivery," in which the physician begins by presenting vaccination as a requirement to prevent disease rather than as an optional course of action.  Similarly, a "strategy of inconvenience" is alleged to be pretty effective. For example, when a step was added requiring Michigan parents seeking a vaccine exemption to meet in person with a "county health educator" before being granted the exemption, the number of requests dropped by 35 percent in one year, and vaccination rates rose. Health policy specialist Mark Largent said the idea was to make the "process more burdensome," adding that, "Moral claims and ideology don't matter as much when it's inconvenient." 
Appealing to a parent's sense of societal obligation is another tactic used frequently. Pediatrician Richard Lander, MD expressed a common opinion when he said that it is important to help "people view vaccines as protecting overall community health, similar to the way other laws are designed to protect community health." 
Dr. Lander further suggested that "If a parent decides not to give vaccines, perhaps the insurance companies should charge them higher premiums since their risk of preventable infections is higher; and maybe if someone contracts a preventable illness from their child, the parents should be financially responsible for the health care costs involved. This would place more responsibility upon those parents and really alert them to how their decision doesn't only affect their child." 
Guilt and fear tactics are also said to be effective, as when a physician asks, "Do you really want your child to have to suffer through a disease you either had as a child or never had to have yourself?" or plays up the risks of "vaccine preventable diseases" with photographs and horror stories of children who became very ill or died from one of those diseases.
Some physicians resort to denying medical care to children if parents refuse to give their children all federally recommended vaccines according to the CDC's recommended schedule.
If all else fails, offering candy is a suggested bribe for convincing the truly intractable. No joke. Health officials in Ireland suggest that uptake of the flu vaccine can be increased substantially among nurses by offering chocolate or drawings for iPads to nurses who agree to be vaccinated.  Although the comments were roundly criticized for being patronizing and condescending, they offer a telling glimpse into the way people who question the safety of vaccines are viewed by public health officials and the mainstream medical community.
Read the full article at TVR.org.
1 McKee C. Exploring the Reasons Behind Parental Refusal of Vaccines. J Pediatr Pharmacol Ther (NCBI) March-April 2016.
2 Hough-Telford K, et al. Vaccine Delays, Refusals, and Patient Dismissals: A Survey of Pediatricians. Pediatrics August 2016.
3 Kennedy A, et al. Vaccine Attitudes, Concerns, and Information Sources Reported by Parents of Young Children: Results From the 2009 HealthStyles Survey. Pediatrics Apr. 18, 2011.
4 National Vaccine Information Center. Vaccine Laws. NVIC.org 2017.
5 Edwards K, et al. Countering Vaccine Hesitancy. Clinical Report: Pediatrics. August 2016.
6 Healy M. 5 Types of Vaccine –Hesitant Parents. NFID News Aug. 28, 2015.
7 Aymes S. Navigating Vaccine Hesitancy: What Can the Physician Do? Medical News Today Apr. 18, 2017.
8 Mole B. Strategy of "inconvenience" may be the best way to boost vaccination rates. ARS Technica Apr. 13, 2017.
9 Multifaceted Approach Advocated for Vaccine-Hesitant Parents. Infectious Diseases in Children June 2011.
10 Chocolates Suggested as Incentive for Nurses' Vaccinations. RTE May 11, 2017.